| Base | Representation |
|---|---|
| bin | 101110100100100100… |
| … | …0011101000111101000 |
| 3 | 100120010221201102010120 |
| 4 | 1131021020131013220 |
| 5 | 3114310331413000 |
| 6 | 113540003043240 |
| 7 | 10140241116324 |
| oct | 1351110350750 |
| 9 | 316127642116 |
| 10 | 100011201000 |
| 11 | 39461796627 |
| 12 | 17471670520 |
| 13 | 957ac31b59 |
| 14 | 4baa738984 |
| 15 | 29051ed6a0 |
| hex | 174921d1e8 |
100011201000 has 128 divisors (see below), whose sum is σ = 313280472960. Its totient is φ = 26563200000.
The previous prime is 100011200941. The next prime is 100011201023. The reversal of 100011201000 is 102110001.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a self number, because there is not a number n which added to its sum of digits gives 100011201000.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 686592 + ... + 819408.
It is an arithmetic number, because the mean of its divisors is an integer number (2447503695).
Almost surely, 2100011201000 is an apocalyptic number.
100011201000 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 100011201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156640236480).
100011201000 is an abundant number, since it is smaller than the sum of its proper divisors (213269271960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100011201000 is a wasteful number, since it uses less digits than its factorization.
100011201000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 133092 (or 133078 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 6.
Adding to 100011201000 its reverse (102110001), we get a palindrome (100113311001).
Subtracting from 100011201000 its reverse (102110001), we obtain a palindrome (99909090999).
The spelling of 100011201000 in words is "one hundred billion, eleven million, two hundred one thousand".
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