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131200312212 = 22323644453117
BaseRepresentation
bin111101000110000100…
…1011110001110010100
3110112122120112102102200
41322030021132032110
54122144234442322
6140134514004500
712323160152604
oct1721411361624
9415576472380
10131200312212
11507071794a2
1221516876730
13c4ab778148
1464c8a7ac04
15362d4118ac
hex1e8c25e394

131200312212 has 18 divisors (see below), whose sum is σ = 331645233738. Its totient is φ = 43733437392.

The previous prime is 131200312211. The next prime is 131200312237. The reversal of 131200312212 is 212213002131.

131200312212 is a `hidden beast` number, since 131 + 200 + 312 + 21 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100461105936 + 30739206276 = 316956^2 + 175326^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×1312003122123 (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131200312211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1822226523 + ... + 1822226594.

Almost surely, 2131200312212 is an apocalyptic number.

131200312212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131200312212 is an abundant number, since it is smaller than the sum of its proper divisors (200444921526).

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

131200312212 is a wasteful number, since it uses less digits than its factorization.

131200312212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644453127 (or 3644453122 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131200312212 its reverse (212213002131), we get a palindrome (343413314343).

The spelling of 131200312212 in words is "one hundred thirty-one billion, two hundred million, three hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 3644453117 7288906234 10933359351 14577812468 21866718702 32800078053 43733437404 65600156106 131200312212