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23132133101100 = 22352157149081547
BaseRepresentation
bin1010100001001110111101…
…00100111000111000101100
310000220102002010110210100010
411100213132210320320230
511012444102033213400
6121110431044333220
74605145552063002
oct520473644707054
9100812063423303
1023132133101100
11740931209a311
1227171b46a4210
13cba4738c595a
1459d85ba44a72
152a1abe843450
hex1509de938e2c

23132133101100 has 72 divisors (see below), whose sum is σ = 66971575919808. Its totient is φ = 6164642177600.

The previous prime is 23132133101047. The next prime is 23132133101107. The reversal of 23132133101100 is 110133123132.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (23132133101107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24069474 + ... + 25012073.

It is an arithmetic number, because the mean of its divisors is an integer number (930160776664).

Almost surely, 223132133101100 is an apocalyptic number.

23132133101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23132133101100 is an abundant number, since it is smaller than the sum of its proper divisors (43839442818708).

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

23132133101100 is a wasteful number, since it uses less digits than its factorization.

23132133101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49083135 (or 49083128 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 23132133101100 its reverse (110133123132), we get a palindrome (23242266224232).

The spelling of 23132133101100 in words is "twenty-three trillion, one hundred thirty-two billion, one hundred thirty-three million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1571 3142 4713 6284 7855 9426 15710 18852 23565 31420 39275 47130 78550 94260 117825 157100 235650 471300 49081547 98163094 147244641 196326188 245407735 294489282 490815470 588978564 736223205 981630940 1227038675 1472446410 2454077350 2944892820 3681116025 4908154700 7362232050 14724464100 77107110337 154214220674 231321331011 308428441348 385535551685 462642662022 771071103370 925285324044 1156606655055 1542142206740 1927677758425 2313213310110 3855355516850 4626426620220 5783033275275 7710711033700 11566066550550 23132133101100