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23132230100 = 2252797134033
BaseRepresentation
bin10101100010110010…
…011101000111010100
32012201010101001011222
4111202302131013110
5334333322330400
614343215545512
71446144466040
oct254262350724
965633331158
1023132230100
1198a05a4941
124596b2b298
1322485a8a25
1411962ad020
15905c2e185
hex562c9d1d4

23132230100 has 72 divisors (see below), whose sum is σ = 57428699328. Its totient is φ = 7922649600.

The previous prime is 23132230097. The next prime is 23132230109. The reversal of 23132230100 is 103223132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23132230109) by changing a digit.

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, 662684 + ... + 696716.

It is an arithmetic number, because the mean of its divisors is an integer number (797620824).

Almost surely, 223132230100 is an apocalyptic number.

23132230100 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 23132230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28714349664).

23132230100 is an abundant number, since it is smaller than the sum of its proper divisors (34296469228).

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

23132230100 is a wasteful number, since it uses less digits than its factorization.

23132230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35025 (or 35018 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 23132230100 its reverse (103223132), we get a palindrome (23235453232).

The spelling of 23132230100 in words is "twenty-three billion, one hundred thirty-two million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 971 1942 3884 4855 6797 9710 13594 19420 24275 27188 33985 34033 48550 67970 68066 97100 135940 136132 169925 170165 238231 339850 340330 476462 679700 680660 850825 952924 1191155 1701650 2382310 3403300 4764620 5955775 11911550 23823100 33046043 66092086 132184172 165230215 231322301 330460430 462644602 660920860 826151075 925289204 1156611505 1652302150 2313223010 3304604300 4626446020 5783057525 11566115050 23132230100