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100440031410 = 23251116000349
BaseRepresentation
bin101110110001010110…
…0010100000010110010
3100121020211122020212100
41131202230110002302
53121200122001120
6114050322241230
710153666115625
oct1354254240262
9317224566770
10100440031410
1139661863224
12175711b6216
139618a28c64
144c0b685dbc
15292cba9490
hex1762b140b2

100440031410 has 24 divisors (see below), whose sum is σ = 261144081900. Its totient is φ = 26784008352.

The previous prime is 100440031409. The next prime is 100440031423. The reversal of 100440031410 is 14130044001.

100440031410 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 100094406129 + 345625281 = 316377^2 + 18591^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558000085 + ... + 558000264.

Almost surely, 2100440031410 is an apocalyptic number.

100440031410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100440031410 is an abundant number, since it is smaller than the sum of its proper divisors (160704050490).

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

100440031410 is a wasteful number, since it uses less digits than its factorization.

100440031410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116000362 (or 1116000359 counting only the distinct ones).

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

Adding to 100440031410 its reverse (14130044001), we get a palindrome (114570075411).

The spelling of 100440031410 in words is "one hundred billion, four hundred forty million, thirty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1116000349 2232000698 3348001047 5580001745 6696002094 10044003141 11160003490 16740005235 20088006282 33480010470 50220015705 100440031410