Search a number
-
+
131313120132 = 22316367133497
BaseRepresentation
bin111101001001011011…
…1110011001110000100
3110112221102210122210210
41322102313303032010
54122412124321012
6140154023515420
712326030050635
oct1722267631604
9415842718723
10131313120132
1150764918787
12215485b8b70
13c4c8c545ac
1464d9a4388c
15363829623c
hex1e92df3384

131313120132 has 24 divisors (see below), whose sum is σ = 308277022816. Its totient is φ = 43502505408.

The previous prime is 131313120121. The next prime is 131313120149. The reversal of 131313120132 is 231021313131.

It is a happy number.

It is a super-4 number, since 4×1313131201324 (a number of 46 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131313120099 and 131313120108.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33564793 + ... + 33568704.

Almost surely, 2131313120132 is an apocalyptic number.

131313120132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131313120132 is an abundant number, since it is smaller than the sum of its proper divisors (176963902684).

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

131313120132 is a wasteful number, since it uses less digits than its factorization.

131313120132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67133667 (or 67133665 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131313120132 its reverse (231021313131), we get a palindrome (362334433263).

The spelling of 131313120132 in words is "one hundred thirty-one billion, three hundred thirteen million, one hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 163 326 489 652 978 1956 67133497 134266994 201400491 268533988 402800982 805601964 10942760011 21885520022 32828280033 43771040044 65656560066 131313120132