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131334315300 = 22345216214113
BaseRepresentation
bin111101001010000100…
…0101001110100100100
3110112222220200111010000
41322110020221310210
54122433041042200
6140200102101300
712326405155266
oct1722410516444
9415886614100
10131334315300
1150775884a51
122155371a830
13c500465a06
1464dc79db36
15363a081300
hex1e94229d24

131334315300 has 90 divisors (see below), whose sum is σ = 425733991298. Its totient is φ = 35022481920.

The previous prime is 131334315263. The next prime is 131334315317. The reversal of 131334315300 is 3513433131.

131334315300 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 343 + 15 + 300 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 41966800164 + 89367515136 = 204858^2 + 298944^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8098957 + ... + 8115156.

Almost surely, 2131334315300 is an apocalyptic number.

131334315300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131334315300 is an abundant number, since it is smaller than the sum of its proper divisors (294399675998).

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

131334315300 is a wasteful number, since it uses less digits than its factorization.

131334315300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16214139 (or 16214123 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 131334315300 its reverse (3513433131), we get a palindrome (134847748431).

The spelling of 131334315300 in words is "one hundred thirty-one billion, three hundred thirty-four million, three hundred fifteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 16214113 32428226 48642339 64856452 81070565 97284678 145927017 162141130 194569356 243211695 291854034 324282260 405352825 437781051 486423390 583708068 729635085 810705650 875562102 972846780 1216058475 1313343153 1459270170 1621411300 1751124204 2188905255 2432116950 2626686306 2918540340 3648175425 4377810510 4864233900 5253372612 6566715765 7296350850 8755621020 10944526275 13133431530 14592701700 21889052550 26266863060 32833578825 43778105100 65667157650 131334315300