Search a number
-
+
10031033321023 = 1113312262809231
BaseRepresentation
bin1001000111111000100000…
…1011011000011000111111
31022111221211221220022011111
42101332020023120120333
52303322024012233043
633200105412502451
72053501233254011
oct221761013303077
938457757808144
1010031033321023
11321815688a470
1211600b891aa27
13579bcb626280
1426970c8ba1b1
15125de463109d
hex91f882d863f

10031033321023 has 16 divisors (see below), whose sum is σ = 12164862431232. Its totient is φ = 8146113228000.

The previous prime is 10031033320999. The next prime is 10031033321069. The reversal of 10031033321023 is 32012333013001.

10031033321023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10031033321023 - 229 = 10030496450111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10031033320985 and 10031033321003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031033331023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1131400183 + ... + 1131409048.

It is an arithmetic number, because the mean of its divisors is an integer number (760303901952).

Almost surely, 210031033321023 is an apocalyptic number.

10031033321023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10031033321023 is a deficient number, since it is larger than the sum of its proper divisors (2133829110209).

10031033321023 is a wasteful number, since it uses less digits than its factorization.

10031033321023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262809286.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 10031033321023 its reverse (32012333013001), we get a palindrome (42043366334024).

The spelling of 10031033321023 in words is "ten trillion, thirty-one billion, thirty-three million, three hundred twenty-one thousand, twenty-three".

Divisors: 1 11 13 31 143 341 403 4433 2262809231 24890901541 29416520003 70147086161 323581720033 771617947771 911912120093 10031033321023