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130052576660700 = 22352898096020869
BaseRepresentation
bin11101100100100000111001…
…101000100100110011011100
3122001110220102200021101101110
4131210200321220210303130
5114021240134111120300
61140333155014142020
736251663042020521
oct3544407150446334
9561426380241343
10130052576660700
1138490a96074631
1212705088951910
135774ba00b57c5
142418814bb7148
151007e7525d550
hex764839a24cdc

130052576660700 has 144 divisors (see below), whose sum is σ = 380983795164000. Its totient is φ = 34248623861760.

The previous prime is 130052576660693. The next prime is 130052576660707. The reversal of 130052576660700 is 7066675250031.

It is an interprime number because it is at equal distance from previous prime (130052576660693) and next prime (130052576660707).

It is a super-3 number, since 3×1300525766607003 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130052576660700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130052576660707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18589866 + ... + 24610734.

It is an arithmetic number, because the mean of its divisors is an integer number (2645720799750).

Almost surely, 2130052576660700 is an apocalyptic number.

130052576660700 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 130052576660700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190491897582000).

130052576660700 is an abundant number, since it is smaller than the sum of its proper divisors (250931218503300).

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

130052576660700 is a wasteful number, since it uses less digits than its factorization.

130052576660700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6021784 (or 6021777 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 48.

The spelling of 130052576660700 in words is "one hundred thirty trillion, fifty-two billion, five hundred seventy-six million, six hundred sixty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 89 100 150 178 267 300 356 445 534 809 890 1068 1335 1618 1780 2225 2427 2670 3236 4045 4450 4854 5340 6675 8090 8900 9708 12135 13350 16180 20225 24270 26700 40450 48540 60675 72001 80900 121350 144002 216003 242700 288004 360005 432006 720010 864012 1080015 1440020 1800025 2160030 3600050 4320060 5400075 6020869 7200100 10800150 12041738 18062607 21600300 24083476 30104345 36125214 60208690 72250428 90313035 120417380 150521725 180626070 301043450 361252140 451565175 535857341 602086900 903130350 1071714682 1607572023 1806260700 2143429364 2679286705 3215144046 4870883021 5358573410 6430288092 8037860115 9741766042 10717146820 13396433525 14612649063 16075720230 19483532084 24354415105 26792867050 29225298126 32151440460 40189300575 48708830210 53585734100 58450596252 73063245315 80378601150 97417660420 121772075525 146126490630 160757202300 243544151050 292252981260 365316226575 433508588869 487088302100 730632453150 867017177738 1300525766607 1461264906300 1734034355476 2167542944345 2601051533214 4335085888690 5202103066428 6502628833035 8670171777380 10837714721725 13005257666070 21675429443450 26010515332140 32513144165175 43350858886900 65026288330350 130052576660700