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21312303420 = 22351983225241
BaseRepresentation
bin10011110110010011…
…111111000100111100
32001000021212012010010
4103312103333010330
5322121422202140
613442444343220
71353065406252
oct236623770474
961007765103
1021312303420
119047270001
124169544b10
13201852ca35
1410626ca5d2
1584b08b880
hex4f64ff13c

21312303420 has 96 divisors (see below), whose sum is σ = 63572302080. Its totient is φ = 5319267840.

The previous prime is 21312303349. The next prime is 21312303431. The reversal of 21312303420 is 2430321312.

It is a super-2 number, since 2×213123034202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18001 + ... + 207240.

It is an arithmetic number, because the mean of its divisors is an integer number (662211480).

Almost surely, 221312303420 is an apocalyptic number.

21312303420 is a gapful number since it is divisible by the number (20) 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 21312303420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31786151040).

21312303420 is an abundant number, since it is smaller than the sum of its proper divisors (42259998660).

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

21312303420 is a wasteful number, since it uses less digits than its factorization.

21312303420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225355 (or 225353 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 21312303420 its reverse (2430321312), we get a palindrome (23742624732).

The spelling of 21312303420 in words is "twenty-one billion, three hundred twelve million, three hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 83 95 114 166 190 228 249 285 332 380 415 498 570 830 996 1140 1245 1577 1660 2490 3154 4731 4980 6308 7885 9462 15770 18924 23655 31540 47310 94620 225241 450482 675723 900964 1126205 1351446 2252410 2702892 3378615 4279579 4504820 6757230 8559158 12838737 13514460 17118316 18695003 21397895 25677474 37390006 42795790 51354948 56085009 64193685 74780012 85591580 93475015 112170018 128387370 186950030 224340036 256774740 280425045 355205057 373900060 560850090 710410114 1065615171 1121700180 1420820228 1776025285 2131230342 3552050570 4262460684 5328075855 7104101140 10656151710 21312303420