Search a number
-
+
100102212012 = 22311758350091
BaseRepresentation
bin101110100111010001…
…1101000100110101100
3100120101021222020202210
41131032203220212230
53120002131241022
6113553013450420
710142424522465
oct1351643504654
9316337866683
10100102212012
11394a90a8540
1217498040a10
139593a4901a
144bb8869d6c
15290d1c9a0c
hex174e8e89ac

100102212012 has 24 divisors (see below), whose sum is σ = 254805630912. Its totient is φ = 30334003600.

The previous prime is 100102212011. The next prime is 100102212031. The reversal of 100102212012 is 210212201001.

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

It is not an unprimeable number, because it can be changed into a prime (100102212011) 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 7 ways as a sum of consecutive naturals, for example, 379174914 + ... + 379175177.

It is an arithmetic number, because the mean of its divisors is an integer number (10616901288).

Almost surely, 2100102212012 is an apocalyptic number.

100102212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100102212012 is an abundant number, since it is smaller than the sum of its proper divisors (154703418900).

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

100102212012 is a wasteful number, since it uses less digits than its factorization.

100102212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758350109 (or 758350107 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100102212012 its reverse (210212201001), we get a palindrome (310314413013).

The spelling of 100102212012 in words is "one hundred billion, one hundred two million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 758350091 1516700182 2275050273 3033400364 4550100546 8341851001 9100201092 16683702002 25025553003 33367404004 50051106006 100102212012