Search a number
-
+
21100331131020 = 22325432726140973
BaseRepresentation
bin1001100110000110011011…
…01111011110000010001100
32202201011122100121110202100
410303003031233132002030
510231201434232143040
6112513205220555100
74305306606224661
oct463031557360214
982634570543670
1021100331131020
1167a5666925729
122449476252a90
13ba09a286980b
1452d3936bda68
15268d04944b30
hex1330cdbde08c

21100331131020 has 72 divisors (see below), whose sum is σ = 65492810759376. Its totient is φ = 5495900199552.

The previous prime is 21100331130973. The next prime is 21100331131021. The reversal of 21100331131020 is 2013113300112.

21100331131020 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 0 + 331 + 1 + 310 + 20 = 666.

21100331131020 is digitally balanced in base 5, 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 = 21100331130984 and 21100331131002.

It is not an unprimeable number, because it can be changed into a prime (21100331131021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1363062747 + ... + 1363078226.

It is an arithmetic number, because the mean of its divisors is an integer number (909622371658).

Almost surely, 221100331131020 is an apocalyptic number.

21100331131020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100331131020 is an abundant number, since it is smaller than the sum of its proper divisors (44392479628356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21100331131020 is a wasteful number, since it uses less digits than its factorization.

21100331131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726141031 (or 2726141026 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21100331131020 its reverse (2013113300112), we get a palindrome (23113444431132).

The spelling of 21100331131020 in words is "twenty-one trillion, one hundred billion, three hundred thirty-one million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 2726140973 5452281946 8178422919 10904563892 13630704865 16356845838 24535268757 27261409730 32713691676 40892114595 49070537514 54522819460 81784229190 98141075028 117224061839 122676343785 163568458380 234448123678 245352687570 351672185517 468896247356 490705375140 586120309195 703344371034 1055016556551 1172240618390 1406688742068 1758360927585 2110033113102 2344481236780 3516721855170 4220066226204 5275082782755 7033443710340 10550165565510 21100331131020