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201106931102424 = 233210969673678089
BaseRepresentation
bin101101101110011111011011…
…001100001011001011011000
3222101001122010210210022101100
4231232133123030023023120
5202324413443330234144
61551415125420351400
760234332141405664
oct5556373314131330
9871048123708340
10201106931102424
1159095a74840166
121a67ba543a5560
13882a3c0cc9299
1437938ad8318a4
15183b3bd29a269
hexb6e7db30b2d8

201106931102424 has 96 divisors (see below), whose sum is σ = 549740572524000. Its totient is φ = 66411086132736.

The previous prime is 201106931102423. The next prime is 201106931102447. The reversal of 201106931102424 is 424201139601102.

201106931102424 is a `hidden beast` number, since 2 + 0 + 110 + 6 + 9 + 3 + 110 + 2 + 424 = 666.

It is a super-2 number, since 2×2011069311024242 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201106931102423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52837972 + ... + 56516060.

It is an arithmetic number, because the mean of its divisors is an integer number (5726464297125).

Almost surely, 2201106931102424 is an apocalyptic number.

201106931102424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201106931102424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274870286262000).

201106931102424 is an abundant number, since it is smaller than the sum of its proper divisors (348633641421576).

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

201106931102424 is a wasteful number, since it uses less digits than its factorization.

201106931102424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685177 (or 3685170 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 201106931102424 in words is "two hundred one trillion, one hundred six billion, nine hundred thirty-one million, one hundred two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 654 872 981 1308 1962 2616 3924 6967 7848 13934 20901 27868 41802 55736 62703 83604 125406 167208 250812 501624 759403 1518806 2278209 3037612 3678089 4556418 6075224 6834627 7356178 9112836 11034267 13669254 14712356 18225672 22068534 27338508 29424712 33102801 44137068 54677016 66205602 88274136 132411204 264822408 400911701 801823402 1202735103 1603646804 2405470206 3207293608 3608205309 4810940412 7216410618 9621880824 14432821236 25625246063 28865642472 51250492126 76875738189 102500984252 153751476378 205001968504 230627214567 307502952756 461254429134 615005905512 922508858268 1845017716536 2793151820867 5586303641734 8379455462601 11172607283468 16758910925202 22345214566936 25138366387803 33517821850404 50276732775606 67035643700808 100553465551212 201106931102424