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23111014000013 = 41775372705181
BaseRepresentation
bin1010100000100111100111…
…10001111010010110001101
310000211101120022011021222222
411100103303301322112031
511012122324041000023
6121053015300545125
74603500320506502
oct520236361722615
9100741508137888
1023111014000013
11740036499a065
12271309b9b21a5
13cb8489410134
1459c816c8b4a9
152a128571bcc8
hex1504f3c7a58d

23111014000013 has 8 divisors (see below), whose sum is σ = 23677751211576. Its totient is φ = 22544422214400.

The previous prime is 23111014000007. The next prime is 23111014000051. The reversal of 23111014000013 is 31000041011132.

It can be written as a sum of positive squares in 4 ways, for example, as 8528490848164 + 14582523151849 = 2920358^2 + 3818707^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 23111014000013 - 26 = 23111013999949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23111013999955 and 23111014000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23111014000213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36034718 + ... + 36670463.

It is an arithmetic number, because the mean of its divisors is an integer number (2959718901447).

Almost surely, 223111014000013 is an apocalyptic number.

It is an amenable number.

23111014000013 is a deficient number, since it is larger than the sum of its proper divisors (566737211563).

23111014000013 is an equidigital number, since it uses as much as digits as its factorization.

23111014000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72712975.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 23111014000013 its reverse (31000041011132), we get a palindrome (54111055011145).

The spelling of 23111014000013 in words is "twenty-three trillion, one hundred eleven billion, fourteen million, thirteen", and thus it is an aban number.

Divisors: 1 41 7753 317873 72705181 2980912421 563683268293 23111014000013