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132015551145300 = 223252219797667361
BaseRepresentation
bin11110000001000101000100…
…000001111110010101010100
3122022102120012202002011122100
4132001011010001332111110
5114300420322043122200
61144435035034002100
736543544265600544
oct3601050401762524
9568376182064570
10132015551145300
1139078531a8a709
12129815b8b76330
1358880228b7184
14248583013d324
15103e062957d00
hex78114407e554

132015551145300 has 108 divisors (see below), whose sum is σ = 413797913543196. Its totient is φ = 35203934054400.

The previous prime is 132015551145271. The next prime is 132015551145323. The reversal of 132015551145300 is 3541155510231.

132015551145300 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 5 + 5 + 5 + 114 + 530 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5363800416144 + 126651750729156 = 2315988^2 + 11253966^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 197483620 + ... + 198150980.

It is an arithmetic number, because the mean of its divisors is an integer number (3831462162437).

Almost surely, 2132015551145300 is an apocalyptic number.

132015551145300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132015551145300 is an abundant number, since it is smaller than the sum of its proper divisors (281782362397896).

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

132015551145300 is a wasteful number, since it uses less digits than its factorization.

132015551145300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887178 (or 887168 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 132015551145300 in words is "one hundred thirty-two trillion, fifteen billion, five hundred fifty-one million, one hundred forty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 219797 439594 659391 667361 879188 1098985 1318782 1334722 1978173 2002083 2197970 2637564 2669444 3296955 3336805 3956346 4004166 4395940 5494925 6006249 6593910 6673610 7912692 8008332 9890865 10010415 10989850 12012498 13187820 13347220 16484775 16684025 19781730 20020830 21979700 24024996 30031245 32969550 33368050 39563460 40041660 49454325 50052075 60062490 65939100 66736100 98908650 100104150 120124980 150156225 197817300 200208300 300312450 600624900 146683945717 293367891434 440051837151 586735782868 733419728585 880103674302 1320155511453 1466839457170 1760207348604 2200259185755 2640311022906 2933678914340 3667098642925 4400518371510 5280622045812 6600777557265 7334197285850 8801036743020 11001295928775 13201555114530 14668394571700 22002591857550 26403110229060 33003887786325 44005183715100 66007775572650 132015551145300