| Base | Representation |
|---|---|
| bin | 10110110011100000000011… |
| … | …011001111101011100001100 |
| 3 | 111011010012211222121121101100 |
| 4 | 112303200003121331130030 |
| 5 | 101121222440124324400 |
| 6 | 553151224013543100 |
| 7 | 30061104453611043 |
| oct | 2663400331753414 |
| 9 | 434105758547340 |
| 10 | 100296133433100 |
| 11 | 29a59395676540 |
| 12 | b2ba0901a4a90 |
| 13 | 43c6b66ba1437 |
| 14 | 1aaa50461555a |
| 15 | b8ddec7b4100 |
| hex | 5b380367d70c |
100296133433100 has 864 divisors, whose sum is σ = 363592253606400. Its totient is φ = 22869587865600.
The previous prime is 100296133433077. The next prime is 100296133433101. The reversal of 100296133433100 is 1334331692001.
It is a happy number.
100296133433100 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 9 + 6 + 1 + 334 + 3 + 310 + 0 = 666.
It is a super-2 number, since 2×1002961334331002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (100296133433101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 40490969062 + ... + 40490971538.
It is an arithmetic number, because the mean of its divisors is an integer number (420824367600).
Almost surely, 2100296133433100 is an apocalyptic number.
100296133433100 is a gapful number since it is divisible by the number (10) 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 100296133433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181796126803200).
100296133433100 is an abundant number, since it is smaller than the sum of its proper divisors (263296120173300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100296133433100 is a wasteful number, since it uses less digits than its factorization.
100296133433100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3983 (or 3973 counting only the distinct ones).
The product of its (nonzero) digits is 34992, while the sum is 36.
The spelling of 100296133433100 in words is "one hundred trillion, two hundred ninety-six billion, one hundred thirty-three million, four hundred thirty-three thousand, one hundred".
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