| Base | Representation |
|---|---|
| bin | 10110110000101101010011… |
| … | …100110000101001100000000 |
| 3 | 111010102212110011220012010000 |
| 4 | 112300231103212011030000 |
| 5 | 101110101403021301040 |
| 6 | 552523123111040000 |
| 7 | 30041201345215500 |
| oct | 2660552346051400 |
| 9 | 433385404805100 |
| 10 | 100104205259520 |
| 11 | 29994a56180a70 |
| 12 | b288a47970000 |
| 13 | 43b1a2ac53317 |
| 14 | 1aa10d8577a00 |
| 15 | b88e17cc7130 |
| hex | 5b0b53985300 |
100104205259520 has 4320 divisors, whose sum is σ = 495125632108800. Its totient is φ = 19020718080000.
The previous prime is 100104205259497. The next prime is 100104205259573. The reversal of 100104205259520 is 25952502401001.
100104205259520 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 4 + 20 + 525 + 95 + 20 = 666.
It is a tau number, because it is divible by the number of its divisors (4320).
It is a super-2 number, since 2×1001042052595202 (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 an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 30791817895 + ... + 30791821145.
It is an arithmetic number, because the mean of its divisors is an integer number (114612414840).
Almost surely, 2100104205259520 is an apocalyptic number.
100104205259520 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 100104205259520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247562816054400).
100104205259520 is an abundant number, since it is smaller than the sum of its proper divisors (395021426849280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100104205259520 is a wasteful number, since it uses less digits than its factorization.
100104205259520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3357 (or 3327 counting only the distinct ones).
The product of its (nonzero) digits is 36000, while the sum is 36.
The spelling of 100104205259520 in words is "one hundred trillion, one hundred four billion, two hundred five million, two hundred fifty-nine thousand, five hundred twenty".
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