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101031310320037 is a prime number
BaseRepresentation
bin10110111110001100101111…
…010111001110000110100101
3111020201111110201122000022121
4112332030233113032012211
5101220244110420220122
6554513050534025541
730165162024212206
oct2676145727160645
9436644421560277
10101031310320037
112a212157881a19
12b3b86654a82b1
13444b29a0b5c76
141ad3d2770d5ad
15ba30c9bdcbc7
hex5be32f5ce1a5

101031310320037 has 2 divisors, whose sum is σ = 101031310320038. Its totient is φ = 101031310320036.

The previous prime is 101031310320029. The next prime is 101031310320217. The reversal of 101031310320037 is 730023013130101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87409298298436 + 13622012021601 = 9349294^2 + 3690801^2 .

It is a cyclic number.

It is not a de Polignac number, because 101031310320037 - 23 = 101031310320029 is a prime.

It is a super-2 number, since 2×1010313103200372 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101031310319993 and 101031310320020.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101031310320637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50515655160018 + 50515655160019.

It is an arithmetic number, because the mean of its divisors is an integer number (50515655160019).

Almost surely, 2101031310320037 is an apocalyptic number.

It is an amenable number.

101031310320037 is a deficient number, since it is larger than the sum of its proper divisors (1).

101031310320037 is an equidigital number, since it uses as much as digits as its factorization.

101031310320037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 25.

Adding to 101031310320037 its reverse (730023013130101), we get a palindrome (831054323450138).

The spelling of 101031310320037 in words is "one hundred one trillion, thirty-one billion, three hundred ten million, three hundred twenty thousand, thirty-seven".