| Base | Representation |
|---|---|
| bin | 10111001100011111010011… |
| … | …101101001111100011000000 |
| 3 | 111101012101012200021120102000 |
| 4 | 113030133103231033203000 |
| 5 | 101332341234421200112 |
| 6 | 1000544134451424000 |
| 7 | 30326135112501225 |
| oct | 2714372355174300 |
| 9 | 441171180246360 |
| 10 | 102013320100032 |
| 11 | 2a5606737952a0 |
| 12 | b536a465b5000 |
| 13 | 44bca791968c3 |
| 14 | 1b2968475394c |
| 15 | bbd901d7d7dc |
| hex | 5cc7d3b4f8c0 |
102013320100032 has 896 divisors, whose sum is σ = 373121900236800. Its totient is φ = 26922328473600.
The previous prime is 102013320099991. The next prime is 102013320100039. The reversal of 102013320100032 is 230001023310201.
102013320100032 is a `hidden beast` number, since 1 + 0 + 201 + 332 + 0 + 100 + 0 + 32 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 102013320099978 and 102013320100014.
It is not an unprimeable number, because it can be changed into a prime (102013320100039) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 263808907 + ... + 264195317.
Almost surely, 2102013320100032 is an apocalyptic number.
102013320100032 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 102013320100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186560950118400).
102013320100032 is an abundant number, since it is smaller than the sum of its proper divisors (271108580136768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102013320100032 is a wasteful number, since it uses less digits than its factorization.
102013320100032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 386522 (or 386506 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 102013320100032 its reverse (230001023310201), we get a palindrome (332014343410233).
It can be divided in two parts, 10201 and 3320100032, that added together give a palindrome (3320110233).
The spelling of 102013320100032 in words is "one hundred two trillion, thirteen billion, three hundred twenty million, one hundred thousand, thirty-two".
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