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20232132100 = 22524319324379
BaseRepresentation
bin10010110101111011…
…011101011000000100
31221020000022210121221
4102311323131120010
5312413411211400
613143340450124
71314241166605
oct226573353004
957200283557
1020232132100
118642569334
123b07849944
131ba58024cb
14d9d06ddac
157d6320c1a
hex4b5edd604

20232132100 has 72 divisors (see below), whose sum is σ = 45159366560. Its totient is φ = 7863367680.

The previous prime is 20232132047. The next prime is 20232132127. The reversal of 20232132100 is 123123202.

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, 817711 + ... + 842089.

Almost surely, 220232132100 is an apocalyptic number.

20232132100 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 20232132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22579683280).

20232132100 is an abundant number, since it is smaller than the sum of its proper divisors (24927234460).

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

20232132100 is a wasteful number, since it uses less digits than its factorization.

20232132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24629 (or 24622 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20232132100 its reverse (123123202), we get a palindrome (20355255302).

The spelling of 20232132100 in words is "twenty billion, two hundred thirty-two million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 193 215 386 430 772 860 965 1075 1930 2150 3860 4300 4825 8299 9650 16598 19300 24379 33196 41495 48758 82990 97516 121895 165980 207475 243790 414950 487580 609475 829900 1048297 1218950 2096594 2437900 4193188 4705147 5241485 9410294 10482970 18820588 20965940 23525735 26207425 47051470 52414850 94102940 104829700 117628675 202321321 235257350 404642642 470514700 809285284 1011606605 2023213210 4046426420 5058033025 10116066050 20232132100