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1120331313312 = 25371487337511
BaseRepresentation
bin10000010011011000111…
…100110011000010100000
310222002202211000111101220
4100103120330303002200
5121323414304011222
62214401220055040
7143640566016321
oct20233074630240
93862684014356
101120331313312
113a2147901672
12161164834480
1381853cc5693
143c31d794448
151e220863b5c
hex104d8f330a0

1120331313312 has 96 divisors (see below), whose sum is σ = 2988423051264. Its totient is φ = 367426886400.

The previous prime is 1120331313281. The next prime is 1120331313349. The reversal of 1120331313312 is 2133131330211.

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

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

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, 3150637 + ... + 3488147.

It is an arithmetic number, because the mean of its divisors is an integer number (31129406784).

Almost surely, 21120331313312 is an apocalyptic number.

1120331313312 is a gapful number since it is divisible by the number (12) 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 1120331313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494211525632).

1120331313312 is an abundant number, since it is smaller than the sum of its proper divisors (1868091737952).

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

1120331313312 is a wasteful number, since it uses less digits than its factorization.

1120331313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338082 (or 338074 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1120331313312 its reverse (2133131330211), we get a palindrome (3253462643523).

The spelling of 1120331313312 in words is "one trillion, one hundred twenty billion, three hundred thirty-one million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 487 568 852 974 1136 1461 1704 1948 2272 2922 3408 3896 5844 6816 7792 11688 15584 23376 34577 46752 69154 103731 138308 207462 276616 337511 414924 553232 675022 829848 1012533 1106464 1350044 1659696 2025066 2700088 3319392 4050132 5400176 8100264 10800352 16200528 23963281 32401056 47926562 71889843 95853124 143779686 164367857 191706248 287559372 328735714 383412496 493103571 575118744 657471428 766824992 986207142 1150237488 1314942856 1972414284 2300474976 2629885712 3944828568 5259771424 7889657136 11670117847 15779314272 23340235694 35010353541 46680471388 70020707082 93360942776 140041414164 186721885552 280082828328 373443771104 560165656656 1120331313312