| Base | Representation |
|---|---|
| bin | 10111010000101000010110… |
| … | …101110001010100000000000 |
| 3 | 111102012120210101122001100000 |
| 4 | 113100220112232022200000 |
| 5 | 101402022111014202022 |
| 6 | 1001323002341200000 |
| 7 | 30355531426064160 |
| oct | 2720502656124000 |
| 9 | 442176711561300 |
| 10 | 102297912256512 |
| 11 | 2a660334627715 |
| 12 | b58202ba00000 |
| 13 | 4510861b1ca2b |
| 14 | 1b393614285a0 |
| 15 | bc600ba156ac |
| hex | 5d0a16b8a800 |
102297912256512 has 1152 divisors, whose sum is σ = 355976261222400. Its totient is φ = 28746282958848.
The previous prime is 102297912256499. The next prime is 102297912256537. The reversal of 102297912256512 is 215652219792201.
It is a happy number.
102297912256512 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 9 + 79 + 1 + 2 + 2 + 56 + 512 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a super-2 number, since 2×1022979122565122 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
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 95 ways as a sum of consecutive naturals, for example, 92745160153 + ... + 92745161255.
It is an arithmetic number, because the mean of its divisors is an integer number (309007171200).
Almost surely, 2102297912256512 is an apocalyptic number.
102297912256512 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 102297912256512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177988130611200).
102297912256512 is an abundant number, since it is smaller than the sum of its proper divisors (253678348965888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102297912256512 is an equidigital number, since it uses as much as digits as its factorization.
102297912256512 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1563 (or 1531 counting only the distinct ones).
The product of its (nonzero) digits is 2721600, while the sum is 54.
The spelling of 102297912256512 in words is "one hundred two trillion, two hundred ninety-seven billion, nine hundred twelve million, two hundred fifty-six thousand, five hundred twelve".
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