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131324511516 = 223115318771371
BaseRepresentation
bin111101001001110001…
…1010000010100011100
3110112222020020101211220
41322103203100110130
54122423033332031
6140155112013340
712326225633652
oct1722343202434
9415866211756
10131324511516
1150770299250
1221550391250
13c4cb412563
1464db36add2
153639296596
hex1e938d051c

131324511516 has 48 divisors (see below), whose sum is σ = 340587773568. Its totient is φ = 39044449600.

The previous prime is 131324511511. The next prime is 131324511523. The reversal of 131324511516 is 615115423131.

It is a happy number.

It is a super-2 number, since 2×1313245115162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131324511511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9378690 + ... + 9392681.

It is an arithmetic number, because the mean of its divisors is an integer number (7095578616).

Almost surely, 2131324511516 is an apocalyptic number.

It is an amenable number.

131324511516 is an abundant number, since it is smaller than the sum of its proper divisors (209263262052).

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

131324511516 is a wasteful number, since it uses less digits than its factorization.

131324511516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18771442 (or 18771440 counting only the distinct ones).

The product of its digits is 10800, while the sum is 33.

Adding to 131324511516 its reverse (615115423131), we get a palindrome (746439934647).

The spelling of 131324511516 in words is "one hundred thirty-one billion, three hundred twenty-four million, five hundred eleven thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1166 1749 2332 3498 6996 18771371 37542742 56314113 75085484 112628226 206485081 225256452 412970162 619455243 825940324 994882663 1238910486 1989765326 2477820972 2984647989 3979530652 5969295978 10943709293 11938591956 21887418586 32831127879 43774837172 65662255758 131324511516