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21310233021 = 32711411514967
BaseRepresentation
bin10011110110001100…
…000101100110111101
32001000010222000001200
4103312030011212331
5322120404424041
613442332130113
71353041664150
oct236614054675
961003860050
1021310233021
119046086530
124168906939
132017c8654c
14106230bc97
1584accd1b6
hex4f63059bd

21310233021 has 96 divisors (see below), whose sum is σ = 39581208576. Its totient is φ = 10726560000.

The previous prime is 21310233019. The next prime is 21310233041. The reversal of 21310233021 is 12033201312.

21310233021 is a `hidden beast` number, since 2 + 1 + 310 + 2 + 330 + 21 = 666.

It is not a de Polignac number, because 21310233021 - 21 = 21310233019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21310232985 and 21310233003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21310233041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4287880 + ... + 4292846.

It is an arithmetic number, because the mean of its divisors is an integer number (412304256).

Almost surely, 221310233021 is an apocalyptic number.

21310233021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21310233021 is a deficient number, since it is larger than the sum of its proper divisors (18270975555).

21310233021 is a wasteful number, since it uses less digits than its factorization.

21310233021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5183 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21310233021 its reverse (12033201312), we get a palindrome (33343434333).

The spelling of 21310233021 in words is "twenty-one billion, three hundred ten million, two hundred thirty-three thousand, twenty-one".

Divisors: 1 3 7 9 11 21 33 41 63 77 99 123 151 231 287 369 451 453 693 861 1057 1353 1359 1661 2583 3157 3171 4059 4967 4983 6191 9471 9513 11627 14901 14949 18573 28413 34769 34881 43337 44703 54637 55719 68101 104307 104643 130011 163911 203647 204303 312921 382459 390033 476707 491733 610941 612909 750017 1147377 1425529 1430121 1832823 2240117 2250051 3442131 4276587 4290363 5250119 6720351 6750153 8250187 12829761 15680819 15750357 20161053 24750561 30750697 47042457 47251071 57751309 74251683 92252091 141127371 173253927 215254879 276756273 338257667 519761781 645764637 1014773001 1937293911 2367803669 3044319003 7103411007 21310233021