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36801738131 is a prime number
BaseRepresentation
bin100010010001100011…
…011111010110010011
310111222202222000000012
4202101203133112103
51100332221110011
624523444545135
72441660420114
oct422143372623
9114882860005
1036801738131
1114675692614
1271709b21ab
1336165a1c12
141ad191620b
15e55d2da8b
hex8918df593

36801738131 has 2 divisors, whose sum is σ = 36801738132. Its totient is φ = 36801738130.

The previous prime is 36801738097. The next prime is 36801738139. The reversal of 36801738131 is 13183710863.

36801738131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 36801738131 - 26 = 36801738067 is a prime.

It is a super-2 number, since 2×368017381312 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a zygodrome in base 5.

It is not a weakly prime, because it can be changed into another prime (36801738139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18400869065 + 18400869066.

It is an arithmetic number, because the mean of its divisors is an integer number (18400869066).

Almost surely, 236801738131 is an apocalyptic number.

36801738131 is a deficient number, since it is larger than the sum of its proper divisors (1).

36801738131 is an equidigital number, since it uses as much as digits as its factorization.

36801738131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 36801738131 in words is "thirty-six billion, eight hundred one million, seven hundred thirty-eight thousand, one hundred thirty-one".