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23024724121 = 725324092
BaseRepresentation
bin10101011100011000…
…010110100010011001
32012102122002011201001
4111130120112202121
5334123312132441
614324415425001
71443400632400
oct253430264231
965378064631
1023024724121
119845947023
124566b25161
13222c237919
141185cc6637
158eb595731
hex55c616899

23024724121 has 27 divisors (see below), whose sum is σ = 27365661981. Its totient is φ = 19315767744.

The previous prime is 23024724113. The next prime is 23024724127. The reversal of 23024724121 is 12142742032.

The square root of 23024724121 is 151739.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9929126025 + 13095598096 = 99645^2 + 114436^2 .

It is not a de Polignac number, because 23024724121 - 23 = 23024724113 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 23024724121.

It is not an unprimeable number, because it can be changed into a prime (23024724127) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 56294965 + ... + 56295373.

Almost surely, 223024724121 is an apocalyptic number.

23024724121 is the 151739-th square number.

23024724121 is the 75870-th centered octagonal number.

It is an amenable number.

23024724121 is a deficient number, since it is larger than the sum of its proper divisors (4340937860).

23024724121 is an frugal number, since it uses more digits than its factorization.

23024724121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The spelling of 23024724121 in words is "twenty-three billion, twenty-four million, seven hundred twenty-four thousand, one hundred twenty-one".

Divisors: 1 7 49 53 371 409 2597 2809 2863 19663 20041 21677 137641 151739 167281 1062173 1148881 1170967 8042167 8196769 8865893 56295169 62061251 434428757 469892329 3289246303 23024724121