Search a number
-
+
23011122100 = 2252710932369
BaseRepresentation
bin10101011011100100…
…011101101110110100
32012101200111010020111
4111123210131232310
5334111321401400
614323212112404
71443144211351
oct253344355664
965350433214
1023011122100
1198391a668a
124562465704
1322294846a5
141184185628
158ea2aa3ba
hex55b91dbb4

23011122100 has 36 divisors (see below), whose sum is σ = 49942701900. Its totient is φ = 9202869760.

The previous prime is 23011122097. The next prime is 23011122107. The reversal of 23011122100 is 122111032.

It can be written as a sum of positive squares in 6 ways, for example, as 7918508196 + 15092613904 = 88986^2 + 122852^2 .

It is a super-2 number, since 2×230111221002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23011122107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 694716 + ... + 727084.

It is an arithmetic number, because the mean of its divisors is an integer number (1387297275).

Almost surely, 223011122100 is an apocalyptic number.

23011122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23011122100 is an abundant number, since it is smaller than the sum of its proper divisors (26931579800).

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

23011122100 is a wasteful number, since it uses less digits than its factorization.

23011122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39492 (or 39485 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 23011122100 its reverse (122111032), we get a palindrome (23133233132).

The spelling of 23011122100 in words is "twenty-three billion, eleven million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 7109 14218 28436 32369 35545 64738 71090 129476 142180 161845 177725 323690 355450 647380 710900 809225 1618450 3236900 230111221 460222442 920444884 1150556105 2301112210 4602224420 5752780525 11505561050 23011122100