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100012311012 = 22317355786491
BaseRepresentation
bin101110100100100110…
…0101100000111100100
3100120011000210210210010
41131021030230013210
53114311122423022
6113540042530220
710140253421445
oct1351114540744
9316130723703
10100012311012
1139462384599
1217471b06970
13957b230173
144baa9472cc
15290536c50c
hex174932c1e4

100012311012 has 48 divisors (see below), whose sum is σ = 235135075392. Its totient is φ = 33084846720.

The previous prime is 100012310999. The next prime is 100012311043. The reversal of 100012311012 is 210113210001.

It is a super-2 number, since 2×1000123110122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1113087 + ... + 1199577.

It is an arithmetic number, because the mean of its divisors is an integer number (4898647404).

Almost surely, 2100012311012 is an apocalyptic number.

100012311012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100012311012 is an abundant number, since it is smaller than the sum of its proper divisors (135122764380).

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

100012311012 is a wasteful number, since it uses less digits than its factorization.

100012311012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87228 (or 87226 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100012311012 its reverse (210113210001), we get a palindrome (310125521013).

The spelling of 100012311012 in words is "one hundred billion, twelve million, three hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 173 346 519 557 692 1038 1114 1671 2076 2228 3342 6684 86491 96361 172982 192722 259473 289083 345964 385444 518946 578166 1037892 1156332 14962943 29925886 44888829 48175487 59851772 89777658 96350974 144526461 179555316 192701948 289052922 578105844 8334359251 16668718502 25003077753 33337437004 50006155506 100012311012