Search a number
-
+
131904201 = 31113349881
BaseRepresentation
bin1111101110010…
…11001011001001
3100012012102112210
413313023023021
5232231413301
621031055333
73161111232
oct767131311
9305172483
10131904201
1168502640
1238211549
1321434430
1413738089
15b8a7ad6
hex7dcb2c9

131904201 has 32 divisors (see below), whose sum is σ = 207446400. Its totient is φ = 73497600.

The previous prime is 131904197. The next prime is 131904203. The reversal of 131904201 is 102409131.

It is not a de Polignac number, because 131904201 - 22 = 131904197 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131904203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149281 + ... + 150161.

It is an arithmetic number, because the mean of its divisors is an integer number (6482700).

Almost surely, 2131904201 is an apocalyptic number.

131904201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131904201 is a deficient number, since it is larger than the sum of its proper divisors (75542199).

131904201 is a wasteful number, since it uses less digits than its factorization.

131904201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 131904201 is about 11484.9554200267. The cubic root of 131904201 is about 509.0411318166.

It can be divided in two parts, 13190 and 4201, that added together give a triangular number (17391 = T186).

The spelling of 131904201 in words is "one hundred thirty-one million, nine hundred four thousand, two hundred one".

Divisors: 1 3 11 13 33 39 143 349 429 881 1047 2643 3839 4537 9691 11453 11517 13611 29073 34359 49907 125983 149721 307469 377949 922407 3382159 3997097 10146477 11991291 43968067 131904201