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401333112097 is a prime number
BaseRepresentation
bin1011101011100010101…
…00010100110100100001
31102100220121001110222221
411311301110110310201
523033412234041342
6504211521231041
740665260111131
oct5656124246441
91370817043887
10401333112097
11145228096235
1265945792481
132bacb89a978
14155d3262ac1
15a68d979a67
hex5d71514d21

401333112097 has 2 divisors, whose sum is σ = 401333112098. Its totient is φ = 401333112096.

The previous prime is 401333112073. The next prime is 401333112107. The reversal of 401333112097 is 790211333104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 250009000081 + 151324112016 = 500009^2 + 389004^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-401333112097 is a prime.

It is a super-2 number, since 2×4013331120972 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (401333112067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200666556048 + 200666556049.

It is an arithmetic number, because the mean of its divisors is an integer number (200666556049).

Almost surely, 2401333112097 is an apocalyptic number.

It is an amenable number.

401333112097 is a deficient number, since it is larger than the sum of its proper divisors (1).

401333112097 is an equidigital number, since it uses as much as digits as its factorization.

401333112097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13608, while the sum is 34.

The spelling of 401333112097 in words is "four hundred one billion, three hundred thirty-three million, one hundred twelve thousand, ninety-seven".