| Base | Representation |
|---|---|
| bin | 10110110000110100101100… |
| … | …000100101100110111100000 |
| 3 | 111010110121220121201001100111 |
| 4 | 112300310230010230313200 |
| 5 | 101110214121311213240 |
| 6 | 552530513435301104 |
| 7 | 30041601650426020 |
| oct | 2660645404546740 |
| 9 | 433417817631314 |
| 10 | 100112132132320 |
| 11 | 29998353741910 |
| 12 | b28a49a5aa794 |
| 13 | 43b26c22a13b9 |
| 14 | 1aa164b247a80 |
| 15 | b8922db7a1ea |
| hex | 5b0d2c12cde0 |
100112132132320 has 576 divisors, whose sum is σ = 318225355693056. Its totient is φ = 28813977354240.
The previous prime is 100112132132317. The next prime is 100112132132323. The reversal of 100112132132320 is 23231231211001.
It is an interprime number because it is at equal distance from previous prime (100112132132317) and next prime (100112132132323).
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 100112132132291 and 100112132132300.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100112132132323) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 588231877 + ... + 588402043.
It is an arithmetic number, because the mean of its divisors is an integer number (552474575856).
Almost surely, 2100112132132320 is an apocalyptic number.
100112132132320 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 100112132132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159112677846528).
100112132132320 is an abundant number, since it is smaller than the sum of its proper divisors (218113223560736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100112132132320 is a wasteful number, since it uses less digits than its factorization.
100112132132320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 170323 (or 170262 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 22.
Adding to 100112132132320 its reverse (23231231211001), we get a palindrome (123343363343321).
The spelling of 100112132132320 in words is "one hundred trillion, one hundred twelve billion, one hundred thirty-two million, one hundred thirty-two thousand, three hundred twenty".
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