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131300203212 = 2232101199318119
BaseRepresentation
bin111101001001000011…
…0100001101011001100
3110112220112111102010100
41322102012201223030
54122400323000322
6140152443011100
712325512212163
oct1722206415314
9415815442110
10131300203212
11507585a6042
1221544209a90
13c4c6381149
1464d80403da
153637093dac
hex1e921a1acc

131300203212 has 72 divisors (see below), whose sum is σ = 335370540960. Its totient is φ = 43309267200.

The previous prime is 131300203211. The next prime is 131300203219. The reversal of 131300203212 is 212302003131.

131300203212 is a `hidden beast` number, since 131 + 300 + 20 + 3 + 212 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (131300203211) by changing a digit.

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, 7237489 + ... + 7255607.

It is an arithmetic number, because the mean of its divisors is an integer number (4657924180).

Almost surely, 2131300203212 is an apocalyptic number.

131300203212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131300203212 is an abundant number, since it is smaller than the sum of its proper divisors (204070337748).

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

131300203212 is a wasteful number, since it uses less digits than its factorization.

131300203212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20223 (or 20218 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131300203212 its reverse (212302003131), we get a palindrome (343602206343).

The spelling of 131300203212 in words is "one hundred thirty-one billion, three hundred million, two hundred three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 1993 3636 3986 5979 7972 11958 17937 18119 23916 35874 36238 54357 71748 72476 108714 163071 201293 217428 326142 402586 603879 652284 805172 1207758 1811637 1830019 2415516 3623274 3660038 5490057 7246548 7320076 10980114 16470171 21960228 32940342 36111167 65880684 72222334 108333501 144444668 216667002 325000503 433334004 650001006 1300002012 3647227867 7294455734 10941683601 14588911468 21883367202 32825050803 43766734404 65650101606 131300203212