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23124000100 = 22521713602353
BaseRepresentation
bin10101100010010011…
…000011110101100100
32012200112212220202011
4111202103003311210
5334324221000400
614342323324004
71446014520625
oct254223036544
965615786664
1023124000100
119896993593
124594220604
1322469869c6
141195169a4c
159051558ba
hex5624c3d64

23124000100 has 36 divisors (see below), whose sum is σ = 53130794724. Its totient is φ = 8705505280.

The previous prime is 23124000071. The next prime is 23124000101. The reversal of 23124000100 is 100042132.

It can be written as a sum of positive squares in 6 ways, for example, as 342324004 + 22781676096 = 18502^2 + 150936^2 .

It is not an unprimeable number, because it can be changed into a prime (23124000101) 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, 6799477 + ... + 6802876.

It is an arithmetic number, because the mean of its divisors is an integer number (1475855409).

Almost surely, 223124000100 is an apocalyptic number.

23124000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23124000100 is an abundant number, since it is smaller than the sum of its proper divisors (30006794624).

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

23124000100 is a wasteful number, since it uses less digits than its factorization.

23124000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13602384 (or 13602377 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 23124000100 its reverse (100042132), we get a palindrome (23224042232).

The spelling of 23124000100 in words is "twenty-three billion, one hundred twenty-four million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 13602353 27204706 54409412 68011765 136023530 231240001 272047060 340058825 462480002 680117650 924960004 1156200005 1360235300 2312400010 4624800020 5781000025 11562000050 23124000100