Search a number
-
+
21131131032 = 23321126680721
BaseRepresentation
bin10011101011100000…
…110111100010011000
32000112122221200022200
4103223200313202120
5321234032143112
613412453250200
71345435436004
oct235340674230
960478850280
1021131131032
118a63a77560
124118933960
131cb9b3833b
141046609704
1583a200cdc
hex4eb837898

21131131032 has 48 divisors (see below), whose sum is σ = 62432889480. Its totient is φ = 6403372800.

The previous prime is 21131131001. The next prime is 21131131057. The reversal of 21131131032 is 23013113112.

21131131032 is a `hidden beast` number, since 2 + 11 + 311 + 310 + 32 = 666.

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 = 21131130996 and 21131131014.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 13339569 + ... + 13341152.

Almost surely, 221131131032 is an apocalyptic number.

21131131032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21131131032 is an abundant number, since it is smaller than the sum of its proper divisors (41301758448).

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

21131131032 is a wasteful number, since it uses less digits than its factorization.

21131131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26680744 (or 26680737 counting only the distinct ones).

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

Adding to 21131131032 its reverse (23013113112), we get a palindrome (44144244144).

The spelling of 21131131032 in words is "twenty-one billion, one hundred thirty-one million, one hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 26680721 53361442 80042163 106722884 160084326 213445768 240126489 293487931 320168652 480252978 586975862 640337304 880463793 960505956 1173951724 1760927586 1921011912 2347903448 2641391379 3521855172 5282782758 7043710344 10565565516 21131131032