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23133100100 = 225211113186107
BaseRepresentation
bin10101100010110101…
…110001100001000100
32012201012000020121012
4111202311301201010
5334334033200400
614343250341352
71446155051345
oct254265614104
965635006535
1023133100100
1198a1039550
12459728a858
132248821a16
1411964580cc
15905d51d35
hex562d71844

23133100100 has 72 divisors (see below), whose sum is σ = 55247276448. Its totient is φ = 8337548800.

The previous prime is 23133100063. The next prime is 23133100247. The reversal of 23133100100 is 100133132.

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, 31247 + ... + 217353.

It is an arithmetic number, because the mean of its divisors is an integer number (767323284).

Almost surely, 223133100100 is an apocalyptic number.

23133100100 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 23133100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27623638224).

23133100100 is an abundant number, since it is smaller than the sum of its proper divisors (32114176348).

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

23133100100 is a wasteful number, since it uses less digits than its factorization.

23133100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186245 (or 186238 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 23133100100 its reverse (100133132), we get a palindrome (23233233232).

The spelling of 23133100100 in words is "twenty-three billion, one hundred thirty-three million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 113 220 226 275 452 550 565 1100 1130 1243 2260 2486 2825 4972 5650 6215 11300 12430 24860 31075 62150 124300 186107 372214 744428 930535 1861070 2047177 3722140 4094354 4652675 8188708 9305350 10235885 18610700 20471770 21030091 40943540 42060182 51179425 84120364 102358850 105150455 204717700 210300910 231331001 420601820 462662002 525752275 925324004 1051504550 1156655005 2103009100 2313310010 4626620020 5783275025 11566550050 23133100100