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23000311213001 is a prime number
BaseRepresentation
bin1010011101011001011010…
…11000010010101111001001
310000102210211020100001002022
411032230231120102233021
511003314114132304001
6120530110324014225
74562501103366353
oct516545530225711
9100383736301068
1023000311213001
117368417076741
1226b5745831375
13caabc6439435
145973146060d3
1529d456aa111b
hex14eb2d612bc9

23000311213001 has 2 divisors, whose sum is σ = 23000311213002. Its totient is φ = 23000311213000.

The previous prime is 23000311212979. The next prime is 23000311213003. The reversal of 23000311213001 is 10031211300032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17433330504976 + 5566980708025 = 4175324^2 + 2359445^2 .

It is a cyclic number.

It is not a de Polignac number, because 23000311213001 - 26 = 23000311212937 is a prime.

Together with 23000311213003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (23000311213003) 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 as a sum of consecutive naturals, namely, 11500155606500 + 11500155606501.

It is an arithmetic number, because the mean of its divisors is an integer number (11500155606501).

Almost surely, 223000311213001 is an apocalyptic number.

It is an amenable number.

23000311213001 is a deficient number, since it is larger than the sum of its proper divisors (1).

23000311213001 is an equidigital number, since it uses as much as digits as its factorization.

23000311213001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 23000311213001 its reverse (10031211300032), we get a palindrome (33031522513033).

The spelling of 23000311213001 in words is "twenty-three trillion, three hundred eleven million, two hundred thirteen thousand, one".