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100440130212 = 22322790003617
BaseRepresentation
bin101110110001010110…
…0101100001010100100
3100121020211211021101200
41131202230230022210
53121200133131322
6114050324322500
710154000006652
oct1354254541244
9317224737350
10100440130212
1139661920484
1217571243430
139618a61c16
144c0b6addd2
15292cbc88ac
hex1762b2c2a4

100440130212 has 18 divisors (see below), whose sum is σ = 253890329238. Its totient is φ = 33480043392.

The previous prime is 100440130121. The next prime is 100440130213. The reversal of 100440130212 is 212031044001.

100440130212 is a `hidden beast` number, since 1 + 0 + 0 + 440 + 13 + 0 + 212 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83085756516 + 17354373696 = 288246^2 + 131736^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100440130213) 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 5 ways as a sum of consecutive naturals, for example, 1395001773 + ... + 1395001844.

It is an arithmetic number, because the mean of its divisors is an integer number (14105018291).

Almost surely, 2100440130212 is an apocalyptic number.

100440130212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100440130212 is an abundant number, since it is smaller than the sum of its proper divisors (153450199026).

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

100440130212 is a wasteful number, since it uses less digits than its factorization.

100440130212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790003627 (or 2790003622 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100440130212 its reverse (212031044001), we get a palindrome (312471174213).

The spelling of 100440130212 in words is "one hundred billion, four hundred forty million, one hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2790003617 5580007234 8370010851 11160014468 16740021702 25110032553 33480043404 50220065106 100440130212