Search a number
-
+
31000402117 is a prime number
BaseRepresentation
bin11100110111110001…
…001001100011000101
32222000110201121002101
4130313301021203011
51001442100331432
622124050112101
72145135033046
oct346761114305
988013647071
1031000402117
1112168a11a43
126011b7b631
132c00713309
14170125c8cd
15c168894e7
hex737c498c5

31000402117 has 2 divisors, whose sum is σ = 31000402118. Its totient is φ = 31000402116.

The previous prime is 31000402067. The next prime is 31000402229. The reversal of 31000402117 is 71120400013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29903401476 + 1097000641 = 172926^2 + 33121^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31000402117 is a prime.

It is a super-2 number, since 2×310004021172 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31000402094 and 31000402103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31000402417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15500201058 + 15500201059.

It is an arithmetic number, because the mean of its divisors is an integer number (15500201059).

Almost surely, 231000402117 is an apocalyptic number.

It is an amenable number.

31000402117 is a deficient number, since it is larger than the sum of its proper divisors (1).

31000402117 is an equidigital number, since it uses as much as digits as its factorization.

31000402117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 19.

The spelling of 31000402117 in words is "thirty-one billion, four hundred two thousand, one hundred seventeen".