Search a number
-
+
31102002017 is a prime number
BaseRepresentation
bin11100111101110100…
…101110001101100001
32222021112220101221122
4130331310232031201
51002144103031032
622142115502025
72150510440502
oct347564561541
988245811848
1031102002017
11122102a64a9
12603bbb7915
132c187970b8
141710948ba9
15c20758012
hex73dd2e361

31102002017 has 2 divisors, whose sum is σ = 31102002018. Its totient is φ = 31102002016.

The previous prime is 31102001999. The next prime is 31102002023. The reversal of 31102002017 is 71020020113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27768556321 + 3333445696 = 166639^2 + 57736^2 .

It is a cyclic number.

It is not a de Polignac number, because 31102002017 - 214 = 31101985633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31102001986 and 31102002004.

It is not a weakly prime, because it can be changed into another prime (31102002047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15551001008 + 15551001009.

It is an arithmetic number, because the mean of its divisors is an integer number (15551001009).

Almost surely, 231102002017 is an apocalyptic number.

It is an amenable number.

31102002017 is a deficient number, since it is larger than the sum of its proper divisors (1).

31102002017 is an equidigital number, since it uses as much as digits as its factorization.

31102002017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 17.

The spelling of 31102002017 in words is "thirty-one billion, one hundred two million, two thousand, seventeen".