Search a number
-
+
131301023022 = 232131091514313
BaseRepresentation
bin111101001001000100…
…1101001110100101110
3110112220121001001200200
41322102021221310232
54122401030214042
6140152512334330
712325522165251
oct1722211516456
9415817031620
10131301023022
1150759005a74
12215445443a6
13c4c65aa340
1464d81b5098
1536371a6c4c
hex1e92269d2e

131301023022 has 48 divisors (see below), whose sum is σ = 306650464848. Its totient is φ = 40363205760.

The previous prime is 131301023003. The next prime is 131301023053. The reversal of 131301023022 is 220320103131.

131301023022 is a `hidden beast` number, since 131 + 301 + 0 + 230 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131301022986 and 131301023004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1863 + ... + 512450.

It is an arithmetic number, because the mean of its divisors is an integer number (6388551351).

Almost surely, 2131301023022 is an apocalyptic number.

131301023022 is an abundant number, since it is smaller than the sum of its proper divisors (175349441826).

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

131301023022 is a wasteful number, since it uses less digits than its factorization.

131301023022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515425 (or 515422 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131301023022 its reverse (220320103131), we get a palindrome (351621126153).

The spelling of 131301023022 in words is "one hundred thirty-one billion, three hundred one million, twenty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1091 2182 3273 6546 9819 14183 19638 28366 42549 85098 127647 255294 514313 1028626 1542939 3085878 4628817 6686069 9257634 13372138 20058207 40116414 60174621 120349242 561115483 1122230966 1683346449 3366692898 5050039347 7294501279 10100078694 14589002558 21883503837 43767007674 65650511511 131301023022