Search a number
-
+
3321320020020 = 223251019109316567
BaseRepresentation
bin110000010101001110000…
…110011001100000110100
3102202111220111120112111100
4300111032012121200310
5413404030411120040
611021443210410100
7461646256235262
oct60251606314064
912674814515440
103321320020020
111070622623632
1245783b430930
131b1278660972
14b6a77773432
155b5dd9b5b30
hex3054e199834

3321320020020 has 144 divisors (see below), whose sum is σ = 10094393312640. Its totient is φ = 883953278208.

The previous prime is 3321320020001. The next prime is 3321320020021. The reversal of 3321320020020 is 200200231233.

It is a happy number.

3321320020020 is a `hidden beast` number, since 3 + 321 + 320 + 0 + 2 + 0 + 0 + 20 = 666.

It is a super-2 number, since 2×33213200200202 (a number of 26 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 = 3321320019975 and 3321320020002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321320020021) 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, 200469777 + ... + 200486343.

It is an arithmetic number, because the mean of its divisors is an integer number (70099953560).

Almost surely, 23321320020020 is an apocalyptic number.

3321320020020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3321320020020 is an abundant number, since it is smaller than the sum of its proper divisors (6773073292620).

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

3321320020020 is a wasteful number, since it uses less digits than its factorization.

3321320020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18694 (or 18689 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 3321320020020 its reverse (200200231233), we get a palindrome (3521520251253).

The spelling of 3321320020020 in words is "three trillion, three hundred twenty-one billion, three hundred twenty million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1019 1093 2038 2186 3057 3279 4076 4372 5095 5465 6114 6558 9171 9837 10190 10930 12228 13116 15285 16395 16567 18342 19674 20380 21860 30570 32790 33134 36684 39348 45855 49185 49701 61140 65580 66268 82835 91710 98370 99402 149103 165670 183420 196740 198804 248505 298206 331340 497010 596412 745515 994020 1113767 1491030 2227534 2982060 3341301 4455068 5568835 6682602 10023903 11137670 13365204 16706505 16881773 18107731 20047806 22275340 33413010 33763546 36215462 40095612 50119515 50645319 54323193 66826020 67527092 72430924 84408865 90538655 100239030 101290638 108646386 151935957 162969579 168817730 181077310 200478060 202581276 217292772 253226595 271615965 303871914 325939158 337635460 362154620 506453190 543231930 607743828 651878316 759679785 814847895 1012906380 1086463860 1519359570 1629695790 3038719140 3259391580 18451777889 36903555778 55355333667 73807111556 92258889445 110710667334 166066001001 184517778890 221421334668 276776668335 332132002002 369035557780 553553336670 664264004004 830330005005 1107106673340 1660660010010 3321320020020