Base | Representation |
---|---|
bin | 101110101010001110… |
… | …0111100100011010000 |
3 | 100120122012002101202200 |
4 | 1131110130330203100 |
5 | 3120202441401000 |
6 | 114010505443200 |
7 | 10145035325010 |
oct | 1352434744320 |
9 | 316565071680 |
10 | 100201122000 |
11 | 39549a15031 |
12 | 175051a0500 |
13 | 95ab39a645 |
14 | 4bc7a55c40 |
15 | 2916c16500 |
hex | 175473c8d0 |
100201122000 has 480 divisors, whose sum is σ = 400866485760. Its totient is φ = 22851532800.
The previous prime is 100201121953. The next prime is 100201122011. The reversal of 100201122000 is 221102001.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
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, 101933509 + ... + 101934491.
It is an arithmetic number, because the mean of its divisors is an integer number (835138512).
Almost surely, 2100201122000 is an apocalyptic number.
100201122000 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 100201122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200433242880).
100201122000 is an abundant number, since it is smaller than the sum of its proper divisors (300665363760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100201122000 is a wasteful number, since it uses less digits than its factorization.
100201122000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1828 (or 1809 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 100201122000 its reverse (221102001), we get a palindrome (100422224001).
The spelling of 100201122000 in words is "one hundred billion, two hundred one million, one hundred twenty-two thousand".
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