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23211522100 = 225213113158009
BaseRepresentation
bin10101100111100000…
…111011100000110100
32012220122120111100201
4111213200323200310
5340014122201400
614355131250244
71451126453044
oct254740734064
965818514321
1023211522100
119931332118
1245b95a9984
13225bb4ba80
1411a2a2d724
1590cb9306a
hex56783b834

23211522100 has 72 divisors (see below), whose sum is σ = 54723919320. Its totient is φ = 8494510080.

The previous prime is 23211522071. The next prime is 23211522127. The reversal of 23211522100 is 122511232.

It can be written as a sum of positive squares in 12 ways, for example, as 9946471824 + 13265050276 = 99732^2 + 115174^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67896 + ... + 225904.

It is an arithmetic number, because the mean of its divisors is an integer number (760054435).

Almost surely, 223211522100 is an apocalyptic number.

23211522100 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 23211522100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27361959660).

23211522100 is an abundant number, since it is smaller than the sum of its proper divisors (31512397220).

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

23211522100 is a wasteful number, since it uses less digits than its factorization.

23211522100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158149 (or 158142 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The spelling of 23211522100 in words is "twenty-three billion, two hundred eleven million, five hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 113 130 226 260 325 452 565 650 1130 1300 1469 2260 2825 2938 5650 5876 7345 11300 14690 29380 36725 73450 146900 158009 316018 632036 790045 1580090 2054117 3160180 3950225 4108234 7900450 8216468 10270585 15800900 17855017 20541170 35710034 41082340 51352925 71420068 89275085 102705850 178550170 205411700 232115221 357100340 446375425 464230442 892750850 928460884 1160576105 1785501700 2321152210 4642304420 5802880525 11605761050 23211522100