Search a number
-
+
131420405010015 = 32511436174320179
BaseRepresentation
bin11101111000011010110010…
…100011101000111001011111
3122020022200000222121222210100
4131320122302203220321133
5114211142442140310030
61143301411154512143
736452545102114602
oct3570326243507137
9566280028558710
10131420405010015
1138969098561560
12128a61a3895653
135843b77740784
142464ad279a339
15102d82dcc7360
hex7786b28e8e5f

131420405010015 has 48 divisors (see below), whose sum is σ = 254283202293120. Its totient is φ = 62237147394240.

The previous prime is 131420405009977. The next prime is 131420405010031. The reversal of 131420405010015 is 510010504024131.

131420405010015 is a `hidden beast` number, since 1 + 3 + 142 + 0 + 4 + 0 + 501 + 0 + 0 + 15 = 666.

It is not a de Polignac number, because 131420405010015 - 227 = 131420270792287 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3087138805 + ... + 3087181374.

It is an arithmetic number, because the mean of its divisors is an integer number (5297566714440).

Almost surely, 2131420405010015 is an apocalyptic number.

131420405010015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131420405010015 is a deficient number, since it is larger than the sum of its proper divisors (122862797283105).

131420405010015 is a wasteful number, since it uses less digits than its factorization.

131420405010015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6174320244 (or 6174320241 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 131420405010015 its reverse (510010504024131), we get a palindrome (641430909034146).

The spelling of 131420405010015 in words is "one hundred thirty-one trillion, four hundred twenty billion, four hundred five million, ten thousand, fifteen".

Divisors: 1 3 5 9 11 15 33 43 45 55 99 129 165 215 387 473 495 645 1419 1935 2365 4257 7095 21285 6174320179 18522960537 30871600895 55568881611 67917521969 92614802685 203752565907 265495767697 277844408055 339587609845 611257697721 796487303091 1018762829535 1327478838485 2389461909273 2920453444667 3056288488605 3982436515455 8761360334001 11947309546365 14602267223335 26284081002003 43806801670005 131420405010015