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131315340 = 223513168353
BaseRepresentation
bin1111101001110…
…11011010001100
3100011002111210010
413310323122030
5232104042330
621010313220
73153106362
oct764733214
9304074703
10131315340
1168140182
1237b88810
13212893b0
1413623632
15b7dd3b0
hex7d3b68c

131315340 has 48 divisors (see below), whose sum is σ = 395968608. Its totient is φ = 32323584.

The previous prime is 131315323. The next prime is 131315351. The reversal of 131315340 is 43513131.

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, 83397 + ... + 84956.

It is an arithmetic number, because the mean of its divisors is an integer number (8249346).

Almost surely, 2131315340 is an apocalyptic number.

131315340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131315340 is an abundant number, since it is smaller than the sum of its proper divisors (264653268).

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

131315340 is a wasteful number, since it uses less digits than its factorization.

131315340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168378 (or 168376 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 131315340 is about 11459.2905539566. The cubic root of 131315340 is about 508.2824962747.

Adding to 131315340 its reverse (43513131), we get a palindrome (174828471).

It can be divided in two parts, 1313 and 15340, that added together give a triangular number (16653 = T182).

The spelling of 131315340 in words is "one hundred thirty-one million, three hundred fifteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 168353 336706 505059 673412 841765 1010118 1683530 2020236 2188589 2525295 3367060 4377178 5050590 6565767 8754356 10101180 10942945 13131534 21885890 26263068 32828835 43771780 65657670 131315340