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220232311202100 = 223521055036958169
BaseRepresentation
bin110010000100110011010100…
…101011010110000100110100
31001212210000002102121101100110
4302010303110223112010310
5212331241233131431400
62100221154350543020
764250154656101011
oct6204632453260464
91055700072541313
10220232311202100
1164199aa925799a
122084a5b7507a70
1395b6a82a21a82
143c5542d314708
151a6db33d58e50
hexc84cd4ad6134

220232311202100 has 72 divisors (see below), whose sum is σ = 637211618346240. Its totient is φ = 58728051226880.

The previous prime is 220232311202077. The next prime is 220232311202107. The reversal of 220232311202100 is 1202113232022.

It is a super-2 number, since 2×2202323112021002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220232311202107) 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, 28171816 + ... + 35129984.

It is an arithmetic number, because the mean of its divisors is an integer number (8850161365920).

Almost surely, 2220232311202100 is an apocalyptic number.

220232311202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220232311202100 is an abundant number, since it is smaller than the sum of its proper divisors (416979307144140).

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

220232311202100 is a wasteful number, since it uses less digits than its factorization.

220232311202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7063689 (or 7063682 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 220232311202100 its reverse (1202113232022), we get a palindrome (221434424434122).

The spelling of 220232311202100 in words is "two hundred twenty trillion, two hundred thirty-two billion, three hundred eleven million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 105503 211006 316509 422012 527515 633018 1055030 1266036 1582545 2110060 2637575 3165090 5275150 6330180 6958169 7912725 10550300 13916338 15825450 20874507 27832676 31650900 34790845 41749014 69581690 83498028 104372535 139163380 173954225 208745070 347908450 417490140 521862675 695816900 1043725350 2087450700 734107704007 1468215408014 2202323112021 2936430816028 3670538520035 4404646224042 7341077040070 8809292448084 11011615560105 14682154080140 18352692600175 22023231120210 36705385200350 44046462240420 55058077800525 73410770400700 110116155601050 220232311202100