Search a number
-
+
10031321331 = 321487749557
BaseRepresentation
bin10010101011110100…
…11101000011110011
3221220002200220220200
421111322131003303
5131021004240311
64335222010243
7503404552533
oct112572350363
927802626820
1010031321331
114288468209
121b3b576983
13c3b3359c5
146b23974c3
153da9e8556
hex255e9d0f3

10031321331 has 12 divisors (see below), whose sum is σ = 14499449952. Its totient is φ = 6683041296.

The previous prime is 10031321327. The next prime is 10031321347. The reversal of 10031321331 is 13312313001.

It is a happy number.

10031321331 is a `hidden beast` number, since 1 + 0 + 0 + 313 + 21 + 331 = 666.

It is not a de Polignac number, because 10031321331 - 22 = 10031321327 is a prime.

It is a super-2 number, since 2×100313213312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10031321371) 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 in 11 ways as a sum of consecutive naturals, for example, 361396 + ... + 388161.

It is an arithmetic number, because the mean of its divisors is an integer number (1208287496).

Almost surely, 210031321331 is an apocalyptic number.

10031321331 is a deficient number, since it is larger than the sum of its proper divisors (4468128621).

10031321331 is a wasteful number, since it uses less digits than its factorization.

10031321331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751050 (or 751047 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10031321331 its reverse (13312313001), we get a palindrome (23343634332).

The spelling of 10031321331 in words is "ten billion, thirty-one million, three hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 1487 4461 13383 749557 2248671 6746013 1114591259 3343773777 10031321331