Search a number
-
+
31136331217 = 157810124481
BaseRepresentation
bin11100111111110111…
…101011010111010001
32222100221111111202111
4130333313223113101
51002231400044332
622145343345321
72151405306565
oct347767532721
988327444674
1031136331217
1112228713542
12604b5b2241
132c22926734
1417153236a5
15c23789947
hex73fdeb5d1

31136331217 has 8 divisors (see below), whose sum is σ = 31339799912. Its totient is φ = 30932928000.

The previous prime is 31136331209. The next prime is 31136331229. The reversal of 31136331217 is 71213363113.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3168451521 + 27967879696 = 56289^2 + 167236^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31136331217 - 23 = 31136331209 is a prime.

It is a super-2 number, since 2×311363312172 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31136334217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1259617 + ... + 1284097.

It is an arithmetic number, because the mean of its divisors is an integer number (3917474989).

Almost surely, 231136331217 is an apocalyptic number.

It is an amenable number.

31136331217 is a deficient number, since it is larger than the sum of its proper divisors (203468695).

31136331217 is a wasteful number, since it uses less digits than its factorization.

31136331217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32739.

The product of its digits is 6804, while the sum is 31.

The spelling of 31136331217 in words is "thirty-one billion, one hundred thirty-six million, three hundred thirty-one thousand, two hundred seventeen".

Divisors: 1 157 8101 24481 1271857 3843517 198320581 31136331217