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131131312404 = 22317738805487
BaseRepresentation
bin111101000100000001…
…0010000100100010100
3110112110202200212111020
41322020002100210110
54122024103444104
6140124011041140
712321361523151
oct1721002204424
9415422625436
10131131312404
1150681230964
12214b77401b0
13c49a399961
1464bd839228
1536273322d9
hex1e88090914

131131312404 has 48 divisors (see below), whose sum is σ = 328409480448. Its totient is φ = 40575679488.

The previous prime is 131131312379. The next prime is 131131312439. The reversal of 131131312404 is 404213131131.

It is a happy number.

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, 4387852 + ... + 4417635.

It is an arithmetic number, because the mean of its divisors is an integer number (6841864176).

Almost surely, 2131131312404 is an apocalyptic number.

It is an amenable number.

131131312404 is an abundant number, since it is smaller than the sum of its proper divisors (197278168044).

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

131131312404 is a wasteful number, since it uses less digits than its factorization.

131131312404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8805584 (or 8805582 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131131312404 its reverse (404213131131), we get a palindrome (535344443535).

The spelling of 131131312404 in words is "one hundred thirty-one billion, one hundred thirty-one million, three hundred twelve thousand, four hundred four".

Divisors: 1 2 3 4 6 12 17 34 51 68 73 102 146 204 219 292 438 876 1241 2482 3723 4964 7446 14892 8805487 17610974 26416461 35221948 52832922 105665844 149693279 299386558 449079837 598773116 642800551 898159674 1285601102 1796319348 1928401653 2571202204 3856803306 7713606612 10927609367 21855218734 32782828101 43710437468 65565656202 131131312404