Search a number
-
+
131411205 = 3252920249
BaseRepresentation
bin1111101010100…
…10110100000101
3100011021101021200
413311102310011
5232120124310
621012333113
73153656022
oct765226405
9304241250
10131411205
11681a6202
1238014199
13212c0c13
141364a549
15b80b9c0
hex7d52d05

131411205 has 12 divisors (see below), whose sum is σ = 227779500. Its totient is φ = 70085952.

The previous prime is 131411183. The next prime is 131411219. The reversal of 131411205 is 502114131.

It can be written as a sum of positive squares in 2 ways, for example, as 100040004 + 31371201 = 10002^2 + 5601^2 .

It is not a de Polignac number, because 131411205 - 29 = 131410693 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1460080 + ... + 1460169.

It is an arithmetic number, because the mean of its divisors is an integer number (18981625).

Almost surely, 2131411205 is an apocalyptic number.

131411205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131411205 is a deficient number, since it is larger than the sum of its proper divisors (96368295).

131411205 is a wasteful number, since it uses less digits than its factorization.

131411205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920260 (or 2920257 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 131411205 is about 11463.4726413945. The cubic root of 131411205 is about 508.4061544575.

Adding to 131411205 its reverse (502114131), we get a palindrome (633525336).

The spelling of 131411205 in words is "one hundred thirty-one million, four hundred eleven thousand, two hundred five".

Divisors: 1 3 5 9 15 45 2920249 8760747 14601245 26282241 43803735 131411205