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100432216401 = 31126991127603
BaseRepresentation
bin101110110001000111…
…0100000000101010001
3100121020021221012200120
41131202032200011101
53121141121411101
6114045442540453
710153542516426
oct1354216400521
9317207835616
10100432216401
1139658405740
121756a667729
139617220aaa
144c0a60dd4d
15292c163b36
hex17623a0151

100432216401 has 16 divisors (see below), whose sum is σ = 146137478400. Its totient is φ = 60845403920.

The previous prime is 100432216333. The next prime is 100432216403. The reversal of 100432216401 is 104612234001.

It is a cyclic number.

It is not a de Polignac number, because 100432216401 - 27 = 100432216273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100432216403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474735 + ... + 652868.

It is an arithmetic number, because the mean of its divisors is an integer number (9133592400).

Almost surely, 2100432216401 is an apocalyptic number.

100432216401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100432216401 is a deficient number, since it is larger than the sum of its proper divisors (45705261999).

100432216401 is a wasteful number, since it uses less digits than its factorization.

100432216401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130316.

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 100432216401 in words is "one hundred billion, four hundred thirty-two million, two hundred sixteen thousand, four hundred one".

Divisors: 1 3 11 33 2699 8097 29689 89067 1127603 3382809 12403633 37210899 3043400497 9130201491 33477405467 100432216401