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23124001120 = 255111731107233
BaseRepresentation
bin10101100010010011…
…000100000101100000
32012200112212222010221
4111202103010011200
5334324221013440
614342323332424
71446014523613
oct254223040540
965615788127
1023124001120
119896994330
124594221114
1322469872cc
14119516a17a
15905155d4a
hex5624c4160

23124001120 has 384 divisors, whose sum is σ = 66029064192. Its totient is φ = 7554662400.

The previous prime is 23124001097. The next prime is 23124001141. The reversal of 23124001120 is 2110042132.

It is a super-2 number, since 2×231240011202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 23124001094 and 23124001103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99244524 + ... + 99244756.

It is an arithmetic number, because the mean of its divisors is an integer number (171950688).

Almost surely, 223124001120 is an apocalyptic number.

23124001120 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 23124001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33014532096).

23124001120 is an abundant number, since it is smaller than the sum of its proper divisors (42905063072).

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

23124001120 is a wasteful number, since it uses less digits than its factorization.

23124001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 23124001120 its reverse (2110042132), we get a palindrome (25234043252).

The spelling of 23124001120 in words is "twenty-three billion, one hundred twenty-four million, one thousand, one hundred twenty".