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100123200021 = 31337345720071
BaseRepresentation
bin101110100111111001…
…1101100101000010101
3100120102202110112220110
41131033303230220111
53120023014400041
6113555043353233
710143101105145
oct1351763545025
9316382415813
10100123200021
1139509a330a9
12174a3082819
1395981b7070
144bbb570925
15290ee73516
hex174fceca15

100123200021 has 32 divisors (see below), whose sum is σ = 147702300928. Its totient is φ = 59928698880.

The previous prime is 100123200013. The next prime is 100123200127. The reversal of 100123200021 is 120002321001.

It is not a de Polignac number, because 100123200021 - 23 = 100123200013 is a prime.

It is a super-3 number, since 3×1001232000213 (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100123200011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4978416 + ... + 4998486.

It is an arithmetic number, because the mean of its divisors is an integer number (4615696904).

Almost surely, 2100123200021 is an apocalyptic number.

It is an amenable number.

100123200021 is a deficient number, since it is larger than the sum of its proper divisors (47579100907).

100123200021 is a wasteful number, since it uses less digits than its factorization.

100123200021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23581.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100123200021 its reverse (120002321001), we get a palindrome (220125521022).

The spelling of 100123200021 in words is "one hundred billion, one hundred twenty-three million, two hundred thousand, twenty-one".

Divisors: 1 3 13 37 39 111 481 1443 3457 10371 20071 44941 60213 127909 134823 260923 383727 742627 782769 1662817 2227881 4988451 9654151 28962453 69385447 208156341 902010811 2567261539 2706032433 7701784617 33374400007 100123200021