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131232140 = 22513717109
BaseRepresentation
bin1111101001001…
…11000110001100
3100010221021122122
413310213012030
5232043412030
621004432112
73152311664
oct764470614
9303837578
10131232140
1168093716
1237b48638
132125a570
14136011a4
15b7c38e5
hex7d2718c

131232140 has 48 divisors (see below), whose sum is σ = 301008960. Its totient is φ = 47765760.

The previous prime is 131232133. The next prime is 131232151. The reversal of 131232140 is 41232131.

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, 14906 + ... + 22014.

It is an arithmetic number, because the mean of its divisors is an integer number (6271020).

Almost surely, 2131232140 is an apocalyptic number.

131232140 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 131232140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150504480).

131232140 is an abundant number, since it is smaller than the sum of its proper divisors (169776820).

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

131232140 is a wasteful number, since it uses less digits than its factorization.

131232140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7202 (or 7200 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 131232140 is about 11455.6597365669. The cubic root of 131232140 is about 508.1751261377.

Adding to 131232140 its reverse (41232131), we get a palindrome (172464271).

Subtracting from 131232140 its reverse (41232131), we obtain a palindrome (90000009).

The spelling of 131232140 in words is "one hundred thirty-one million, two hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 130 142 260 284 355 710 923 1420 1846 3692 4615 7109 9230 14218 18460 28436 35545 71090 92417 142180 184834 369668 462085 504739 924170 1009478 1848340 2018956 2523695 5047390 6561607 10094780 13123214 26246428 32808035 65616070 131232140