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100432444234001 = 1121943685273699
BaseRepresentation
bin10110110101011111000000…
…001010011001100100010001
3111011121020200201102202100212
4112311133000022121210101
5101130441121210442001
6553334010011253505
730104001410366615
oct2665370012314421
9434536621382325
10100432444234001
112a001184557800
12b32059244a295
13440697b351a89
141ab2d55cb5345
15b927296a47bb
hex5b57c0299911

100432444234001 has 12 divisors (see below), whose sum is σ = 116202828042000. Its totient is φ = 86496841922040.

The previous prime is 100432444233997. The next prime is 100432444234021.

100432444234001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100432444234001 - 22 = 100432444233997 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100432444234021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21842634551 + ... + 21842639148.

It is an arithmetic number, because the mean of its divisors is an integer number (9683569003500).

Almost surely, 2100432444234001 is an apocalyptic number.

100432444234001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100432444234001 is a deficient number, since it is larger than the sum of its proper divisors (15770383807999).

100432444234001 is a wasteful number, since it uses less digits than its factorization.

100432444234001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43685273740 (or 43685273729 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 100432444234001 in words is "one hundred trillion, four hundred thirty-two billion, four hundred forty-four million, two hundred thirty-four thousand, one".

Divisors: 1 11 19 121 209 2299 43685273699 480538010689 830020200281 5285918117579 9130222203091 100432444234001