Search a number
-
+
131389401 = 311132959179
BaseRepresentation
bin1111101010011…
…01011111011001
3100011020021101010
413311031133121
5232113430101
621012044133
73153535323
oct765153731
9304207333
10131389401
1168190890
1238003649
13212b4010
1413642613
15b8052d6
hex7d4d7d9

131389401 has 64 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 69377280.

The previous prime is 131389387. The next prime is 131389411. The reversal of 131389401 is 104983131.

It is not a de Polignac number, because 131389401 - 26 = 131389337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131389411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 733930 + ... + 734108.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2131389401 is an apocalyptic number.

131389401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131389401 is a deficient number, since it is larger than the sum of its proper divisors (86338599).

131389401 is a wasteful number, since it uses less digits than its factorization.

131389401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 131389401 is about 11462.5215812229. The cubic root of 131389401 is about 508.3780343264.

The spelling of 131389401 in words is "one hundred thirty-one million, three hundred eighty-nine thousand, four hundred one".

Divisors: 1 3 11 13 29 33 39 59 87 143 177 179 319 377 429 537 649 767 957 1131 1711 1947 1969 2301 2327 4147 5133 5191 5907 6981 8437 10561 12441 15573 18821 22243 25311 25597 31683 56463 57101 66729 67483 76791 116171 137293 171303 202449 244673 306269 348513 411879 734019 742313 918807 1510223 2226939 3368959 3981497 4530669 10106877 11944491 43796467 131389401