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23024121120 = 253257111315973
BaseRepresentation
bin10101011100010110…
…000011010100100000
32012102120221112112200
4111130112003110200
5334123133333440
614324354453200
71443362541360
oct253426032440
965376845480
1023024121120
119845574a80
124566894200
13222c086310
141185baa9a0
158eb4c6c30
hex55c583520

23024121120 has 576 divisors, whose sum is σ = 105498941184. Its totient is φ = 4415938560.

The previous prime is 23024121079. The next prime is 23024121137. The reversal of 23024121120 is 2112142032.

It is a happy number.

23024121120 is a `hidden beast` number, since 230 + 2 + 412 + 1 + 1 + 20 = 666.

It is a super-2 number, since 2×230241211202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23024121093 and 23024121102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1433454 + ... + 1449426.

It is an arithmetic number, because the mean of its divisors is an integer number (183157884).

Almost surely, 223024121120 is an apocalyptic number.

23024121120 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 23024121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52749470592).

23024121120 is an abundant number, since it is smaller than the sum of its proper divisors (82474820064).

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

23024121120 is a wasteful number, since it uses less digits than its factorization.

23024121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16025 (or 16014 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 23024121120 its reverse (2112142032), we get a palindrome (25136263152).

The spelling of 23024121120 in words is "twenty-three billion, twenty-four million, one hundred twenty-one thousand, one hundred twenty".