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131313526146 = 23211983674669
BaseRepresentation
bin111101001001011100…
…1010110010110000010
3110112221110120021202100
41322102321112112002
54122412230314041
6140154040331230
712326033361435
oct1722271262602
9415843507670
10131313526146
1150765075830
1221548773b16
13c4c906733a
1464d9b0b81c
1536383266b6
hex1e92e56582

131313526146 has 48 divisors (see below), whose sum is σ = 310693631040. Its totient is φ = 39751438560.

The previous prime is 131313526133. The next prime is 131313526189. The reversal of 131313526146 is 641625313131.

131313526146 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 35 + 2 + 614 + 6 = 666.

It is a super-2 number, since 2×1313135261462 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131313526146.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142701 + ... + 531968.

It is an arithmetic number, because the mean of its divisors is an integer number (6472783980).

Almost surely, 2131313526146 is an apocalyptic number.

131313526146 is an abundant number, since it is smaller than the sum of its proper divisors (179380104894).

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

131313526146 is a wasteful number, since it uses less digits than its factorization.

131313526146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675671 (or 675668 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

Adding to 131313526146 its reverse (641625313131), we get a palindrome (772938839277).

The spelling of 131313526146 in words is "one hundred thirty-one billion, three hundred thirteen million, five hundred twenty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 983 1966 2949 5898 8847 10813 17694 21626 32439 64878 97317 194634 674669 1349338 2024007 4048014 6072021 7421359 12144042 14842718 22264077 44528154 66792231 133584462 663199627 1326399254 1989598881 3979197762 5968796643 7295195897 11937593286 14590391794 21885587691 43771175382 65656763073 131313526146