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10117471100 = 22521121143591
BaseRepresentation
bin10010110110000110…
…00101101101111100
3222010002210210011212
421123003011231330
5131210033033400
64351540303552
7505502041202
oct113303055574
928102723155
1010117471100
114322059870
121b643a1bb8
13c5313a2b9
146bd9c1072
153e3364335
hex25b0c5b7c

10117471100 has 72 divisors (see below), whose sum is σ = 24064876416. Its totient is φ = 3661560000.

The previous prime is 10117471073. The next prime is 10117471153. The reversal of 10117471100 is 117471101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210305 + ... + 253895.

Almost surely, 210117471100 is an apocalyptic number.

10117471100 is a gapful number since it is divisible by the number (10) 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 10117471100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12032438208).

10117471100 is an abundant number, since it is smaller than the sum of its proper divisors (13947405316).

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

10117471100 is a wasteful number, since it uses less digits than its factorization.

10117471100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43827 (or 43820 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 23.

Subtracting from 10117471100 its reverse (117471101), we obtain a palindrome (9999999999).

The spelling of 10117471100 in words is "ten billion, one hundred seventeen million, four hundred seventy-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 211 220 275 422 550 844 1055 1100 2110 2321 4220 4642 5275 9284 10550 11605 21100 23210 43591 46420 58025 87182 116050 174364 217955 232100 435910 479501 871820 959002 1089775 1918004 2179550 2397505 4359100 4795010 9197701 9590020 11987525 18395402 23975050 36790804 45988505 47950100 91977010 101174711 183954020 202349422 229942525 404698844 459885050 505873555 919770100 1011747110 2023494220 2529367775 5058735550 10117471100