| Base | Representation |
|---|---|
| bin | 1001000111001111011011… |
| … | …0010010010111001110000 |
| 3 | 1022110220101022111112110200 |
| 4 | 2101303312302102321300 |
| 5 | 2303131432023122112 |
| 6 | 33151043142355200 |
| 7 | 2052631020454413 |
| oct | 221636662227160 |
| 9 | 38426338445420 |
| 10 | 10020004114032 |
| 11 | 3213507112a70 |
| 12 | 1159b3b12bb00 |
| 13 | 578b616438a3 |
| 14 | 268d83ba5b7a |
| 15 | 12599b222cdc |
| hex | 91cf6c92e70 |
10020004114032 has 480 divisors, whose sum is σ = 32577400627200. Its totient is φ = 2845269504000.
The previous prime is 10020004114007. The next prime is 10020004114049. The reversal of 10020004114032 is 23041140002001.
10020004114032 is a `hidden beast` number, since 10 + 0 + 200 + 0 + 411 + 40 + 3 + 2 = 666.
10020004114032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 = 10020004113996 and 10020004114014.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 353412657 + ... + 353441007.
It is an arithmetic number, because the mean of its divisors is an integer number (67869584640).
Almost surely, 210020004114032 is an apocalyptic number.
10020004114032 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 10020004114032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16288700313600).
10020004114032 is an abundant number, since it is smaller than the sum of its proper divisors (22557396513168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10020004114032 is a wasteful number, since it uses less digits than its factorization.
10020004114032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 28597 (or 28588 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 10020004114032 its reverse (23041140002001), we get a palindrome (33061144116033).
The spelling of 10020004114032 in words is "ten trillion, twenty billion, four million, one hundred fourteen thousand, thirty-two".
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