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131312625700 = 22521777242721
BaseRepresentation
bin111101001001011010…
…1111010100000100100
3110112221101212112120111
41322102311322200210
54122412013010300
6140154005142404
712326022621304
oct1722265724044
9415841775514
10131312625700
1150764610263
12215483baa04
13c4c8b10529
1464d9955604
1536381e99ba
hex1e92d7a824

131312625700 has 36 divisors (see below), whose sum is σ = 301710072132. Its totient is φ = 49435340800.

The previous prime is 131312625679. The next prime is 131312625701. The reversal of 131312625700 is 7526213131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3840776676 + 127471849024 = 61974^2 + 357032^2 .

It is not an unprimeable number, because it can be changed into a prime (131312625701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38619661 + ... + 38623060.

It is an arithmetic number, because the mean of its divisors is an integer number (8380835337).

Almost surely, 2131312625700 is an apocalyptic number.

131312625700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131312625700 is an abundant number, since it is smaller than the sum of its proper divisors (170397446432).

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

131312625700 is a wasteful number, since it uses less digits than its factorization.

131312625700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77242752 (or 77242745 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

Adding to 131312625700 its reverse (7526213131), we get a palindrome (138838838831).

The spelling of 131312625700 in words is "one hundred thirty-one billion, three hundred twelve million, six hundred twenty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 77242721 154485442 308970884 386213605 772427210 1313126257 1544854420 1931068025 2626252514 3862136050 5252505028 6565631285 7724272100 13131262570 26262525140 32828156425 65656312850 131312625700