Search a number
-
+
32013031023 = 323949990053
BaseRepresentation
bin11101110100001000…
…000001011001101111
310001122001011110210200
4131310020001121233
51011030313443043
622412342204543
72212212162651
oct356410013157
9101561143720
1032013031023
1112638581036
126255123753
13303245280c
1417999366d1
15c757127d3
hex77420166f

32013031023 has 12 divisors (see below), whose sum is σ = 46242729000. Its totient is φ = 21341243376.

The previous prime is 32013031021. The next prime is 32013031079.

32013031023 is a `hidden beast` number, since 320 + 1 + 30 + 310 + 2 + 3 = 666.

32013031023 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 32013031023 - 21 = 32013031021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32013030987 and 32013031005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32013031021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 310465 + ... + 400517.

It is an arithmetic number, because the mean of its divisors is an integer number (3853560750).

Almost surely, 232013031023 is an apocalyptic number.

32013031023 is a deficient number, since it is larger than the sum of its proper divisors (14229697977).

32013031023 is a wasteful number, since it uses less digits than its factorization.

32013031023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129558 (or 129555 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

It can be divided in two parts, 320130 and 31023, that added together give a palindrome (351153).

The spelling of 32013031023 in words is "thirty-two billion, thirteen million, thirty-one thousand, twenty-three".

Divisors: 1 3 9 39499 90053 118497 270159 355491 810477 3557003447 10671010341 32013031023