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221131332100 = 225271492120147
BaseRepresentation
bin1100110111110001110…
…1000101101000000100
3210010210000121120122001
43031330131011220010
512110334110111400
6245330351515044
721655561211140
oct3157435055004
9703700546561
10221131332100
1185865965828
1236a34528a84
1317b111c7b93
14a9ba740220
155b436b4a6a
hex337c745a04

221131332100 has 72 divisors (see below), whose sum is σ = 552086539200. Its totient is φ = 75307585920.

The previous prime is 221131332091. The next prime is 221131332131. The reversal of 221131332100 is 1233131122.

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, 955774 + ... + 1164373.

It is an arithmetic number, because the mean of its divisors is an integer number (7667868600).

Almost surely, 2221131332100 is an apocalyptic number.

221131332100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221131332100 is an abundant number, since it is smaller than the sum of its proper divisors (330955207100).

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

221131332100 is a wasteful number, since it uses less digits than its factorization.

221131332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120317 (or 2120310 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 221131332100 its reverse (1233131122), we get a palindrome (222364463222).

The spelling of 221131332100 in words is "two hundred twenty-one billion, one hundred thirty-one million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 149 175 298 350 596 700 745 1043 1490 2086 2980 3725 4172 5215 7450 10430 14900 20860 26075 52150 104300 2120147 4240294 8480588 10600735 14841029 21201470 29682058 42402940 53003675 59364116 74205145 106007350 148410290 212014700 296820580 315901903 371025725 631803806 742051450 1263607612 1484102900 1579509515 2211313321 3159019030 4422626642 6318038060 7897547575 8845253284 11056566605 15795095150 22113133210 31590190300 44226266420 55282833025 110565666050 221131332100