Search a number
-
+
131913045 = 32511266491
BaseRepresentation
bin1111101110011…
…01010101010101
3100012012212200100
413313031111111
5232232204140
621031204313
73161146065
oct767152525
9305185610
10131913045
1168509250
1238216699
1321438474
141373b3a5
15b8aa530
hex7dcd555

131913045 has 24 divisors (see below), whose sum is σ = 249436512. Its totient is φ = 63957600.

The previous prime is 131913007. The next prime is 131913059. The reversal of 131913045 is 540319131.

It is not a de Polignac number, because 131913045 - 28 = 131912789 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132751 + ... + 133740.

It is an arithmetic number, because the mean of its divisors is an integer number (10393188).

Almost surely, 2131913045 is an apocalyptic number.

131913045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131913045 is a deficient number, since it is larger than the sum of its proper divisors (117523467).

131913045 is a wasteful number, since it uses less digits than its factorization.

131913045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266513 (or 266510 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 131913045 is about 11485.3404390118. The cubic root of 131913045 is about 509.0525084043.

The spelling of 131913045 in words is "one hundred thirty-one million, nine hundred thirteen thousand, forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 266491 799473 1332455 2398419 2931401 3997365 8794203 11992095 14657005 26382609 43971015 131913045