| Base | Representation |
|---|---|
| bin | 10110111110100110010111… |
| … | …101100110111010111110000 |
| 3 | 111020211010111122221112011100 |
| 4 | 112332212113230313113300 |
| 5 | 101221221441120101321 |
| 6 | 554533441425444400 |
| 7 | 30200155014034200 |
| oct | 2676462754672760 |
| 9 | 436733448845140 |
| 10 | 101058830628336 |
| 11 | 2a22289a322969 |
| 12 | b401a65aa0700 |
| 13 | 4450a6480c469 |
| 14 | 1ad53b86b2400 |
| 15 | ba3b8ac9d326 |
| hex | 5be997b375f0 |
101058830628336 has 1440 divisors, whose sum is σ = 365255218598400. Its totient is φ = 25885629665280.
The previous prime is 101058830628331. The next prime is 101058830628337. The reversal of 101058830628336 is 633826038850101.
101058830628336 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 5 + 8 + 8 + 3 + 0 + 628 + 3 + 3 + 6 = 666.
It is a super-2 number, since 2×1010588306283362 (a number of 29 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101058830628331) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 152887791846 + ... + 152887792506.
It is an arithmetic number, because the mean of its divisors is an integer number (253649457360).
Almost surely, 2101058830628336 is an apocalyptic number.
101058830628336 is a gapful number since it is divisible by the number (16) 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 101058830628336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182627609299200).
101058830628336 is an abundant number, since it is smaller than the sum of its proper divisors (264196387970064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101058830628336 is a wasteful number, since it uses less digits than its factorization.
101058830628336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1187 (or 1171 counting only the distinct ones).
The product of its (nonzero) digits is 4976640, while the sum is 54.
The spelling of 101058830628336 in words is "one hundred one trillion, fifty-eight billion, eight hundred thirty million, six hundred twenty-eight thousand, three hundred thirty-six".
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