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130936299600 = 24352313519793
BaseRepresentation
bin111100111110001101…
…0010110000001010000
3110111222011202012012210
41321330122112001100
54121124143041400
6140052403152120
712313503116541
oct1717432260120
9414864665183
10130936299600
1150591144957
1221462375640
13c468b6a672
1464a19944c8
153615160950
hex1e7c696050

130936299600 has 120 divisors (see below), whose sum is σ = 432962820352. Its totient is φ = 33790003200.

The previous prime is 130936299583. The next prime is 130936299619. The reversal of 130936299600 is 6992639031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 130936299600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1722697 + ... + 1797096.

Almost surely, 2130936299600 is an apocalyptic number.

130936299600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130936299600 is an abundant number, since it is smaller than the sum of its proper divisors (302026520752).

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

130936299600 is a wasteful number, since it uses less digits than its factorization.

130936299600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519845 (or 3519834 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 48.

The spelling of 130936299600 in words is "one hundred thirty billion, nine hundred thirty-six million, two hundred ninety-nine thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 150 155 186 200 240 248 300 310 372 400 465 496 600 620 744 775 930 1200 1240 1488 1550 1860 2325 2480 3100 3720 4650 6200 7440 9300 12400 18600 37200 3519793 7039586 10559379 14079172 17598965 21118758 28158344 35197930 42237516 52796895 56316688 70395860 84475032 87994825 105593790 109113583 140791720 168950064 175989650 211187580 218227166 263984475 281583440 327340749 351979300 422375160 436454332 527968950 545567915 654681498 703958600 844750320 872908664 1055937900 1091135830 1309362996 1407917200 1636703745 1745817328 2111875800 2182271660 2618725992 2727839575 3273407490 4223751600 4364543320 5237451984 5455679150 6546814980 8183518725 8729086640 10911358300 13093629960 16367037450 21822716600 26187259920 32734074900 43645433200 65468149800 130936299600