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21311231220 = 223554385027
BaseRepresentation
bin10011110110001111…
…111001010011110100
32001000012211201100000
4103312033321103310
5322121133344340
613442405351300
71353053322306
oct236617712364
961005751300
1021311231220
1190466a8494
124169108530
1320182459b6
1410624cb976
1584ae28d30
hex4f63f94f4

21311231220 has 72 divisors (see below), whose sum is σ = 67038308064. Its totient is φ = 5682993696.

The previous prime is 21311231219. The next prime is 21311231237. The reversal of 21311231220 is 2213211312.

21311231220 is a `hidden beast` number, since 21 + 311 + 2 + 312 + 20 = 666.

It is a super-2 number, since 2×213112312202 (a number of 21 digits) contains 22 as substring.

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 = 21311231193 and 21311231202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2187654 + ... + 2197373.

It is an arithmetic number, because the mean of its divisors is an integer number (931087612).

Almost surely, 221311231220 is an apocalyptic number.

21311231220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21311231220 is an abundant number, since it is smaller than the sum of its proper divisors (45727076844).

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

21311231220 is a wasteful number, since it uses less digits than its factorization.

21311231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4385051 (or 4385037 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21311231220 its reverse (2213211312), we get a palindrome (23524442532).

The spelling of 21311231220 in words is "twenty-one billion, three hundred eleven million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 4385027 8770054 13155081 17540108 21925135 26310162 39465243 43850270 52620324 65775405 78930486 87700540 118395729 131550810 157860972 197326215 236791458 263101620 355187187 394652430 473582916 591978645 710374374 789304860 1065561561 1183957290 1420748748 1775935935 2131123122 2367914580 3551871870 4262246244 5327807805 7103743740 10655615610 21311231220