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10031131133322 = 23131238871038077
BaseRepresentation
bin1001000111111000111000…
…0000100000010110001010
31022111222002202221200102020
42101332032000200112022
52303322224032231242
633200123225145310
72053503531535035
oct221761600402612
938458082850366
1010031131133322
1132181a7017282
12116012562b236
13579c15982080
1426971b89c01c
15125ded0026ec
hex91f8e02058a

10031131133322 has 32 divisors (see below), whose sum is σ = 21605708420352. Its totient is φ = 3086474000064.

The previous prime is 10031131133311. The next prime is 10031131133347. The reversal of 10031131133322 is 22333113113001.

It is a super-3 number, since 3×100311311333223 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10031131133292 and 10031131133301.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9144148 + ... + 10182224.

It is an arithmetic number, because the mean of its divisors is an integer number (675178388136).

Almost surely, 210031131133322 is an apocalyptic number.

10031131133322 is an abundant number, since it is smaller than the sum of its proper divisors (11574577287030).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10031131133322 is a wasteful number, since it uses less digits than its factorization.

10031131133322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161982.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 10031131133322 its reverse (22333113113001), we get a palindrome (32364244246323).

The spelling of 10031131133322 in words is "ten trillion, thirty-one billion, one hundred thirty-one million, one hundred thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 123887 247774 371661 743322 1038077 1610531 2076154 3114231 3221062 4831593 6228462 9663186 13495001 26990002 40485003 80970006 128604245299 257208490598 385812735897 771625471794 1671855188887 3343710377774 5015565566661 10031131133322