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23323122132121 = 721761458999117
BaseRepresentation
bin1010100110110010101100…
…11010001110010010011001
310001120200001111000211012201
411103121112122032102121
511024111223231211441
6121334254442210201
74625016465052300
oct523312632162231
9101520044024181
1023323122132121
11748230a458109
1227482164b3961
1310024900c3c06
145a8bb9097437
152a6a4bb70c31
hex15365668e499

23323122132121 has 24 divisors (see below), whose sum is σ = 29197851894216. Its totient is φ = 18506844357120.

The previous prime is 23323122132059. The next prime is 23323122132133. The reversal of 23323122132121 is 12123122132332.

It can be written as a sum of positive squares in 4 ways, for example, as 7733543855625 + 15589578276496 = 2780925^2 + 3948364^2 .

It is a de Polignac number, because none of the positive numbers 2k-23323122132121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23323122132121.

It is not an unprimeable number, because it can be changed into a prime (23323122132721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229448746 + ... + 229550371.

It is an arithmetic number, because the mean of its divisors is an integer number (1216577162259).

Almost surely, 223323122132121 is an apocalyptic number.

It is an amenable number.

23323122132121 is a deficient number, since it is larger than the sum of its proper divisors (5874729762095).

23323122132121 is a wasteful number, since it uses less digits than its factorization.

23323122132121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458999209 (or 458999202 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

Adding to 23323122132121 its reverse (12123122132332), we get a palindrome (35446244264453).

The spelling of 23323122132121 in words is "twenty-three trillion, three hundred twenty-three billion, one hundred twenty-two million, one hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 7 17 49 61 119 427 833 1037 2989 7259 50813 458999117 3212993819 7802984989 22490956733 27998946137 54620894923 195992622959 382346264461 475982084329 1371948360713 3331874590303 23323122132121