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3131331220320 = 253510760968287
BaseRepresentation
bin101101100100010001111…
…000101001001101100000
3102002100111212010112001020
4231210101320221031200
5402300431243022240
610354302543205440
7442142210132202
oct55442170511540
912070455115036
103131331220320
11aa7a98927396
12426a585a6880
1319938b450c64
14ab7b30cc772
15566be3b30d0
hex2d911e29360

3131331220320 has 96 divisors (see below), whose sum is σ = 9955877557248. Its totient is φ = 827217704448.

The previous prime is 3131331220319. The next prime is 3131331220331. The reversal of 3131331220320 is 230221331313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×31313312203202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30432784 + ... + 30535503.

It is an arithmetic number, because the mean of its divisors is an integer number (103707057888).

Almost surely, 23131331220320 is an apocalyptic number.

3131331220320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3131331220320 is an abundant number, since it is smaller than the sum of its proper divisors (6824546336928).

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

3131331220320 is a wasteful number, since it uses less digits than its factorization.

3131331220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60968412 (or 60968404 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 3131331220320 its reverse (230221331313), we get a palindrome (3361552551633).

The spelling of 3131331220320 in words is "three trillion, one hundred thirty-one billion, three hundred thirty-one million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 107 120 160 214 240 321 428 480 535 642 856 1070 1284 1605 1712 2140 2568 3210 3424 4280 5136 6420 8560 10272 12840 17120 25680 51360 60968287 121936574 182904861 243873148 304841435 365809722 487746296 609682870 731619444 914524305 975492592 1219365740 1463238888 1829048610 1950985184 2438731480 2926477776 3658097220 4877462960 5852955552 6523606709 7316194440 9754925920 13047213418 14632388880 19570820127 26094426836 29264777760 32618033545 39141640254 52188853672 65236067090 78283280508 97854100635 104377707344 130472134180 156566561016 195708201270 208755414688 260944268360 313133122032 391416402540 521888536720 626266244064 782832805080 1043777073440 1565665610160 3131331220320