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131212131300 = 223252145791257
BaseRepresentation
bin111101000110011011…
…0100011101111100100
3110112200101202220011200
41322030312203233210
54122210301200200
6140140015202500
712323362466565
oct1721466435744
9415611686150
10131212131300
1150712911338
122151a816430
13c4b10559a3
1464ca47616c
15362e498800
hex1e8cda3be4

131212131300 has 54 divisors (see below), whose sum is σ = 411277138818. Its totient is φ = 34989901440.

The previous prime is 131212131299. The next prime is 131212131317. The reversal of 131212131300 is 3131212131.

131212131300 is a `hidden beast` number, since 1 + 312 + 1 + 21 + 31 + 300 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9757093284 + 121455038016 = 98778^2 + 348504^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 72894729 + ... + 72896528.

Almost surely, 2131212131300 is an apocalyptic number.

131212131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131212131300 is an abundant number, since it is smaller than the sum of its proper divisors (280065007518).

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

131212131300 is a wasteful number, since it uses less digits than its factorization.

131212131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145791277 (or 145791267 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131212131300 its reverse (3131212131), we get a palindrome (134343343431).

The spelling of 131212131300 in words is "one hundred thirty-one billion, two hundred twelve million, one hundred thirty-one 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 145791257 291582514 437373771 583165028 728956285 874747542 1312121313 1457912570 1749495084 2186868855 2624242626 2915825140 3644781425 4373737710 5248485252 6560606565 7289562850 8747475420 10934344275 13121213130 14579125700 21868688550 26242426260 32803032825 43737377100 65606065650 131212131300