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100432202440031 = 7112545751235979
BaseRepresentation
bin10110110101011110110001…
…110000000001110101011111
3111011121020001212110100101122
4112311132301300001311133
5101130440122311040111
6553333530013001155
730103662413233130
oct2665366160016537
9434536055410348
10100432202440031
112a001070019380
12b3205254831bb
134406940223517
141ab2d31b33c87
15b92713341cdb
hex5b57b1c01d5f

100432202440031 has 16 divisors (see below), whose sum is σ = 125219095568640. Its totient is φ = 78255783358080.

The previous prime is 100432202439953. The next prime is 100432202440043. The reversal of 100432202440031 is 130044202234001.

It is a cyclic number.

It is not a de Polignac number, because 100432202440031 - 210 = 100432202439007 is a prime.

It is a super-2 number, since 2×1004322024400312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100432202440331) 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, 23657801 + ... + 27578178.

It is an arithmetic number, because the mean of its divisors is an integer number (7826193473040).

Almost surely, 2100432202440031 is an apocalyptic number.

100432202440031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100432202440031 is a deficient number, since it is larger than the sum of its proper divisors (24786893128609).

100432202440031 is a wasteful number, since it uses less digits than its factorization.

100432202440031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51261454.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 100432202440031 its reverse (130044202234001), we get a palindrome (230476404674032).

The spelling of 100432202440031 in words is "one hundred trillion, four hundred thirty-two billion, two hundred two million, four hundred forty thousand, thirty-one".

Divisors: 1 7 11 77 25457 178199 280027 1960189 51235979 358651853 563595769 3945170383 1304314317403 9130200221821 14347457491433 100432202440031