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131213140 = 225171013821
BaseRepresentation
bin1111101001000…
…10011101010100
3100010220022120221
413310202131110
5232042310030
621004204124
73152202412
oct764423524
9303808527
10131213140
1168080413
1237b39644
1321251a16
14135d82b2
15b7bce7a
hex7d22754

131213140 has 48 divisors (see below), whose sum is σ = 294722064. Its totient is φ = 48896000.

The previous prime is 131213129. The next prime is 131213153. The reversal of 131213140 is 41312131.

It can be written as a sum of positive squares in 8 ways, for example, as 41835024 + 89378116 = 6468^2 + 9454^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32430 + ... + 36250.

It is an arithmetic number, because the mean of its divisors is an integer number (6140043).

Almost surely, 2131213140 is an apocalyptic number.

131213140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131213140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147361032).

131213140 is an abundant number, since it is smaller than the sum of its proper divisors (163508924).

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

131213140 is a wasteful number, since it uses less digits than its factorization.

131213140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 131213140 is about 11454.8304221407. The cubic root of 131213140 is about 508.1506001504.

Adding to 131213140 its reverse (41312131), we get a palindrome (172525271).

It can be divided in two parts, 13121 and 3140, that added together give a palindrome (16261).

The spelling of 131213140 in words is "one hundred thirty-one million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 101 170 202 340 404 505 1010 1717 2020 3434 3821 6868 7642 8585 15284 17170 19105 34340 38210 64957 76420 129914 259828 324785 385921 649570 771842 1299140 1543684 1929605 3859210 6560657 7718420 13121314 26242628 32803285 65606570 131213140