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234111022020 = 2232533711033499
BaseRepresentation
bin1101101000001000011…
…0101011001111000100
3211101021121012010220100
43122002012223033010
512313424410201040
6255314335404100
722625326565541
oct3320206531704
9741247163810
10234111022020
1190316628997
1239457383630
13190cc308285
14b48c4ddbc8
156152e53b30
hex36821ab3c4

234111022020 has 144 divisors (see below), whose sum is σ = 713093472000. Its totient is φ = 62170149888.

The previous prime is 234111021967. The next prime is 234111022021. The reversal of 234111022020 is 20220111432.

It is a happy number.

234111022020 is a `hidden beast` number, since 2 + 3 + 411 + 10 + 220 + 20 = 666.

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 = 234111021984 and 234111022002.

It is not an unprimeable number, because it can be changed into a prime (234111022021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66906231 + ... + 66909729.

It is an arithmetic number, because the mean of its divisors is an integer number (4952038000).

Almost surely, 2234111022020 is an apocalyptic number.

234111022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234111022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356546736000).

234111022020 is an abundant number, since it is smaller than the sum of its proper divisors (478982449980).

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

234111022020 is a wasteful number, since it uses less digits than its factorization.

234111022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4954 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 234111022020 its reverse (20220111432), we get a palindrome (254331133452).

The spelling of 234111022020 in words is "two hundred thirty-four billion, one hundred eleven million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 337 674 1011 1103 1348 1685 2022 2206 3033 3309 3370 3499 4044 4412 5055 5515 6066 6618 6740 6998 9927 10110 10497 11030 12132 13236 13996 15165 16545 17495 19854 20220 20994 22060 30330 31491 33090 34990 39708 41988 49635 52485 60660 62982 66180 69980 99270 104970 125964 157455 198540 209940 314910 371711 629820 743422 1115133 1179163 1486844 1858555 2230266 2358326 3345399 3537489 3717110 3859397 4460532 4716652 5575665 5895815 6690798 7074978 7434220 7718794 10612467 11151330 11578191 11791630 13381596 14149956 15437588 16726995 17687445 19296985 21224934 22302660 23156382 23583260 33453990 34734573 35374890 38593970 42449868 46312764 53062335 57890955 66907980 69469146 70749780 77187940 106124670 115781910 138938292 173672865 212249340 231563820 347345730 694691460 1300616789 2601233578 3901850367 5202467156 6503083945 7803700734 11705551101 13006167890 15607401468 19509251835 23411102202 26012335780 39018503670 46822204404 58527755505 78037007340 117055511010 234111022020