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100412114430 = 23523914004479
BaseRepresentation
bin101110110000100000…
…1110100010111111110
3100121011220002220222010
41131201001310113332
53121121000130210
6114043444032050
710153206614205
oct1354101642776
9317156086863
10100412114430
1139648025841
1217563992626
139613003134
144c07a9a23c
15292a4e2920
hex17610745fe

100412114430 has 32 divisors (see below), whose sum is σ = 241997414400. Its totient is φ = 26664526112.

The previous prime is 100412114399. The next prime is 100412114519. The reversal of 100412114430 is 34411214001.

It is a junction number, because it is equal to n+sod(n) for n = 100412114397 and 100412114406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6995070 + ... + 7009409.

It is an arithmetic number, because the mean of its divisors is an integer number (7562419200).

Almost surely, 2100412114430 is an apocalyptic number.

100412114430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100412114430 is an abundant number, since it is smaller than the sum of its proper divisors (141585299970).

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

100412114430 is a wasteful number, since it uses less digits than its factorization.

100412114430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14004728.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 100412114430 its reverse (34411214001), we get a palindrome (134823328431).

The spelling of 100412114430 in words is "one hundred billion, four hundred twelve million, one hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 239 478 717 1195 1434 2390 3585 7170 14004479 28008958 42013437 70022395 84026874 140044790 210067185 420134370 3347070481 6694140962 10041211443 16735352405 20082422886 33470704810 50206057215 100412114430