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100411312034 = 21121950121277
BaseRepresentation
bin101110110000011111…
…0110000011110100010
3100121011211121011021202
41131200332300132202
53121120243441114
6114043414521202
710153200032645
oct1354076603642
9317154534252
10100411312034
1139647627a00
1217563666202
139612ab1b47
144c0792ba5c
15292a3d4cde
hex1760fb07a2

100411312034 has 24 divisors (see below), whose sum is σ = 165570458844. Its totient is φ = 45637020000.

The previous prime is 100411311983. The next prime is 100411312069. The reversal of 100411312034 is 430213114001.

It can be written as a sum of positive squares in 2 ways, for example, as 93668438809 + 6742873225 = 306053^2 + 82115^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100411311997 and 100411312015.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4708604 + ... + 4729880.

Almost surely, 2100411312034 is an apocalyptic number.

100411312034 is a deficient number, since it is larger than the sum of its proper divisors (65159146810).

100411312034 is a wasteful number, since it uses less digits than its factorization.

100411312034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40802 (or 40791 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 100411312034 its reverse (430213114001), we get a palindrome (530624426035).

The spelling of 100411312034 in words is "one hundred billion, four hundred eleven million, three hundred twelve thousand, thirty-four".

Divisors: 1 2 11 22 121 242 19501 21277 39002 42554 214511 234047 429022 468094 2359621 2574517 4719242 5149034 414922777 829845554 4564150547 9128301094 50205656017 100411312034