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332231010010020 = 2232511373449848363
BaseRepresentation
bin100101110001010011000111…
…1010101011100001110100100
31121120022222022022120121110100
41023202212033111130032210
5322021233102030310040
63134332452522424100
7126656620066312002
oct11342461725341644
91546288268517410
10332231010010020
119694a41a9a7010
1231318719062030
131134c332ac2b44
145c080d0d93a72
1528621571c0b30
hex12e298f55c3a4

332231010010020 has 144 divisors (see below), whose sum is σ = 1102330023867072. Its totient is φ = 80324923518720.

The previous prime is 332231010010013. The next prime is 332231010010027. The reversal of 332231010010020 is 20010010132233.

332231010010020 is a `hidden beast` number, since 3 + 322 + 310 + 1 + 0 + 0 + 10 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (332231010010013) and next prime (332231010010027).

It is a super-2 number, since 2×3322310100100202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 332231010009975 and 332231010010002.

It is not an unprimeable number, because it can be changed into a prime (332231010010027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224185642 + ... + 225662721.

It is an arithmetic number, because the mean of its divisors is an integer number (7655069610188).

Almost surely, 2332231010010020 is an apocalyptic number.

332231010010020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332231010010020 is an abundant number, since it is smaller than the sum of its proper divisors (770099013857052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

332231010010020 is a wasteful number, since it uses less digits than its factorization.

332231010010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449848762 (or 449848757 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 332231010010020 its reverse (20010010132233), we get a palindrome (352241020142253).

The spelling of 332231010010020 in words is "three hundred thirty-two trillion, two hundred thirty-one billion, ten million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 373 396 495 660 746 990 1119 1492 1865 1980 2238 3357 3730 4103 4476 5595 6714 7460 8206 11190 12309 13428 16412 16785 20515 22380 24618 33570 36927 41030 49236 61545 67140 73854 82060 123090 147708 184635 246180 369270 738540 449848363 899696726 1349545089 1799393452 2249241815 2699090178 4048635267 4498483630 4948331993 5398180356 6747725445 8097270534 8996967260 9896663986 13495450890 14844995979 16194541068 19793327972 20243176335 24741659965 26990901780 29689991958 40486352670 44534987937 49483319930 59379983916 74224979895 80972705340 89069975874 98966639860 148449959790 167793439399 178139951748 222674939685 296899919580 335586878798 445349879370 503380318197 671173757596 838967196995 890699758740 1006760636394 1510140954591 1677934393990 1845727833389 2013521272788 2516901590985 3020281909182 3355868787980 3691455666778 5033803181970 5537183500167 6040563818364 7382911333556 7550704772955 9228639166945 10067606363940 11074367000334 15101409545910 16611550500501 18457278333890 22148734000668 27685917500835 30202819091820 33223101001002 36914556667780 55371835001670 66446202002004 83057752502505 110743670003340 166115505005010 332231010010020