Search a number
-
+
31002132031 = 135521431947
BaseRepresentation
bin11100110111110111…
…101111111000111111
32222000120222111002021
4130313313233320333
51001443021211111
622124151141011
72145155526403
oct346767577077
988016874067
1031002132031
1112169993722
126012674767
132c00b9a830
14170158d103
15c16acbd71
hex737defe3f

31002132031 has 8 divisors (see below), whose sum is σ = 33393035984. Its totient is φ = 28612103040.

The previous prime is 31002131999. The next prime is 31002132043. The reversal of 31002132031 is 13023120013.

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 31002132031 - 25 = 31002131999 is a prime.

It is a super-2 number, since 2×310021320312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31002131996 and 31002132014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31002136031) 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, 144201 + ... + 287746.

It is an arithmetic number, because the mean of its divisors is an integer number (4174129498).

Almost surely, 231002132031 is an apocalyptic number.

31002132031 is a deficient number, since it is larger than the sum of its proper divisors (2390903953).

31002132031 is a wasteful number, since it uses less digits than its factorization.

31002132031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437481.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31002132031 its reverse (13023120013), we get a palindrome (44025252044).

The spelling of 31002132031 in words is "thirty-one billion, two million, one hundred thirty-two thousand, thirty-one".

Divisors: 1 13 5521 71773 431947 5615311 2384779387 31002132031