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100720055264731 = 7192233935944029
BaseRepresentation
bin10110111001101010110111…
…000111011010010111011011
3111012121202001211022221020021
4112321222313013122113123
5101200144133121432411
6554114053222011311
730133532601665320
oct2671526707322733
9435552054287207
10100720055264731
112a102154481021
12b36827a876b37
134427b2556a326
141ac2c3b8a6b47
15b99e5e3aca71
hex5b9ab71da5db

100720055264731 has 48 divisors (see below), whose sum is σ = 126773937561600. Its totient is φ = 78227962059456.

The previous prime is 100720055264729. The next prime is 100720055264749. The reversal of 100720055264731 is 137462550027001.

It is a happy number.

It is not a de Polignac number, because 100720055264731 - 21 = 100720055264729 is a prime.

It is a super-2 number, since 2×1007200552647312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100720055214731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2287562425 + ... + 2287606453.

It is an arithmetic number, because the mean of its divisors is an integer number (2641123699200).

Almost surely, 2100720055264731 is an apocalyptic number.

100720055264731 is a deficient number, since it is larger than the sum of its proper divisors (26053882296869).

100720055264731 is a wasteful number, since it uses less digits than its factorization.

100720055264731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83456 (or 83437 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 43.

The spelling of 100720055264731 in words is "one hundred trillion, seven hundred twenty billion, fifty-five million, two hundred sixty-four thousand, seven hundred thirty-one".

Divisors: 1 7 19 23 133 161 361 437 2527 3059 8303 39359 44029 58121 275513 308203 747821 836551 905257 1012667 5234747 5855857 6336799 7088669 14208599 15894469 17199883 19240673 99460193 111261283 120399181 134684711 326797777 365572787 1732937411 2287584439 2559009509 12130561877 32925810809 39857560453 230480675663 279002923171 625590405371 757293648607 4379132837597 5301055540249 14388579323533 100720055264731