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23320312100 = 2252417180111
BaseRepresentation
bin10101101101111111…
…111011100100100100
32020012020021121011222
4111231333323210210
5340224444441400
614414015115512
71453620245051
oct255577734444
966166247158
1023320312100
119987787708
124629b12b98
13227854c457
1411b326c028
159174d2185
hex56dffb924

23320312100 has 72 divisors (see below), whose sum is σ = 52570135296. Its totient is φ = 8972320000.

The previous prime is 23320312087. The next prime is 23320312129. The reversal of 23320312100 is 121302332.

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, 251045 + ... + 331155.

It is an arithmetic number, because the mean of its divisors is an integer number (730140768).

Almost surely, 223320312100 is an apocalyptic number.

23320312100 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 23320312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26285067648).

23320312100 is an abundant number, since it is smaller than the sum of its proper divisors (29249823196).

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

23320312100 is a wasteful number, since it uses less digits than its factorization.

23320312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80237 (or 80230 counting only the distinct ones).

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

Adding to 23320312100 its reverse (121302332), we get a palindrome (23441614432).

The spelling of 23320312100 in words is "twenty-three billion, three hundred twenty million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 71 82 100 142 164 205 284 355 410 710 820 1025 1420 1775 2050 2911 3550 4100 5822 7100 11644 14555 29110 58220 72775 80111 145550 160222 291100 320444 400555 801110 1602220 2002775 3284551 4005550 5687881 6569102 8011100 11375762 13138204 16422755 22751524 28439405 32845510 56878810 65691020 82113775 113757620 142197025 164227550 233203121 284394050 328455100 466406242 568788100 932812484 1166015605 2332031210 4664062420 5830078025 11660156050 23320312100