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131212000200420 = 22325728955556669
BaseRepresentation
bin11101110101011000101100…
…101010011000011011100100
3122012120202002220012202000200
4131311120230222120123210
5114144234134022403140
61143021543304310500
736431516453344536
oct3565305452303344
9565522086182020
10131212000200420
1138898773472527
1212871921472430
13582a3140749a9
1424589a2357856
1510281d2a44030
hex77562ca986e4

131212000200420 has 36 divisors (see below), whose sum is σ = 398009733941820. Its totient is φ = 34989866720064.

The previous prime is 131212000200389. The next prime is 131212000200509. The reversal of 131212000200420 is 24002000212131.

It is a happy number.

131212000200420 is a `hidden beast` number, since 1 + 3 + 1 + 21 + 20 + 0 + 0 + 200 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66471180716196 + 64740819484224 = 8152986^2 + 8046168^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 131212000200393 and 131212000200402.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364477778155 + ... + 364477778514.

Almost surely, 2131212000200420 is an apocalyptic number.

131212000200420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131212000200420 is an abundant number, since it is smaller than the sum of its proper divisors (266797733741400).

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

131212000200420 is a wasteful number, since it uses less digits than its factorization.

131212000200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728955556684 (or 728955556679 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 131212000200420 its reverse (24002000212131), we get a palindrome (155214000412551).

The spelling of 131212000200420 in words is "one hundred thirty-one trillion, two hundred twelve billion, two hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 728955556669 1457911113338 2186866670007 2915822226676 3644777783345 4373733340014 6560600010021 7289555566690 8747466680028 10934333350035 13121200020042 14579111133380 21868666700070 26242400040084 32803000050105 43737333400140 65606000100210 131212000200420