Search a number
-
+
131430258666 = 235738633233
BaseRepresentation
bin111101001100111011…
…0101001011111101010
3110120020121012220200000
41322121312221133222
54123132121234131
6140213410323430
712331651523460
oct1723166513752
9416217186600
10131430258666
1150814a55693
122157b889576
13c5172b8c35
14650b416830
1536436d3ce6
hex1e99da97ea

131430258666 has 48 divisors (see below), whose sum is σ = 337499932224. Its totient is φ = 37551501504.

The previous prime is 131430258643. The next prime is 131430258683. The reversal of 131430258666 is 666852034131.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19313215 + ... + 19320018.

It is an arithmetic number, because the mean of its divisors is an integer number (7031248588).

Almost surely, 2131430258666 is an apocalyptic number.

131430258666 is an abundant number, since it is smaller than the sum of its proper divisors (206069673558).

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

131430258666 is an equidigital number, since it uses as much as digits as its factorization.

131430258666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38633257 (or 38633245 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 131430258666 in words is "one hundred thirty-one billion, four hundred thirty million, two hundred fifty-eight thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 38633233 77266466 115899699 231799398 270432631 347699097 540865262 695398194 811297893 1043097291 1622595786 2086194582 2433893679 3129291873 4867787358 6258583746 7301681037 9387875619 14603362074 18775751238 21905043111 43810086222 65715129333 131430258666