Search a number
-
+
31312210169 is a prime number
BaseRepresentation
bin11101001010010110…
…100110100011111001
32222211012110002022202
4131022112212203321
51003111411211134
622215025155545
72155642252322
oct351226464371
988735402282
1031312210169
1112308a20a49
12609a48bbb5
132c501b6916
141730827449
15c33e2bd7e
hex74a5a68f9

31312210169 has 2 divisors, whose sum is σ = 31312210170. Its totient is φ = 31312210168.

The previous prime is 31312210133. The next prime is 31312210211. The reversal of 31312210169 is 96101221313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15772094569 + 15540115600 = 125587^2 + 124660^2 .

It is a cyclic number.

It is not a de Polignac number, because 31312210169 - 220 = 31311161593 is a prime.

It is a super-2 number, since 2×313122101692 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31312215169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15656105084 + 15656105085.

It is an arithmetic number, because the mean of its divisors is an integer number (15656105085).

Almost surely, 231312210169 is an apocalyptic number.

It is an amenable number.

31312210169 is a deficient number, since it is larger than the sum of its proper divisors (1).

31312210169 is an equidigital number, since it uses as much as digits as its factorization.

31312210169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 31312210169 in words is "thirty-one billion, three hundred twelve million, two hundred ten thousand, one hundred sixty-nine".