Search a number
-
+
131324767245 = 32571921942317
BaseRepresentation
bin111101001001110010…
…0001110110000001101
3110112222020201101122100
41322103210032300031
54122423120022440
6140155121305313
712326231050350
oct1722344166015
9415866641570
10131324767245
11507704533a1
1221550495239
13c4cb4a1a89
1464db3d6297
1536392e7230
hex1e9390ec0d

131324767245 has 48 divisors (see below), whose sum is σ = 273840128640. Its totient is φ = 56874483072.

The previous prime is 131324767237. The next prime is 131324767261. The reversal of 131324767245 is 542767423131.

It is a happy number.

131324767245 is a `hidden beast` number, since 1 + 3 + 132 + 476 + 7 + 2 + 45 = 666.

It is not a de Polignac number, because 131324767245 - 23 = 131324767237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 131324767245.

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, 10965174 + ... + 10977143.

It is an arithmetic number, because the mean of its divisors is an integer number (5705002680).

Almost surely, 2131324767245 is an apocalyptic number.

131324767245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131324767245 is an abundant number, since it is smaller than the sum of its proper divisors (142515361395).

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

131324767245 is a wasteful number, since it uses less digits than its factorization.

131324767245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21942354 (or 21942351 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 131324767245 in words is "one hundred thirty-one billion, three hundred twenty-four million, seven hundred sixty-seven thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985 21942317 65826951 109711585 153596219 197480853 329134755 416904023 460788657 767981095 987404265 1250712069 1382365971 2084520115 2303943285 2918328161 3752136207 6253560345 6911829855 8754984483 14591640805 18760681035 26264953449 43774922415 131324767245