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131415361 = 7115928927
BaseRepresentation
bin1111101010100…
…11110101000001
3100011021120222121
413311103311001
5232120242421
621012404241
73154004110
oct765236501
9304246877
10131415361
11681a9340
1238016681
13212c2a8c
141364bc77
15b80cd41
hex7d53d41

131415361 has 16 divisors (see below), whose sum is σ = 166625280. Its totient is φ = 100662480.

The previous prime is 131415359. The next prime is 131415371. The reversal of 131415361 is 163514131.

It is a cyclic number.

It is not a de Polignac number, because 131415361 - 21 = 131415359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131415371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9921 + ... + 19006.

It is an arithmetic number, because the mean of its divisors is an integer number (10414080).

Almost surely, 2131415361 is an apocalyptic number.

131415361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131415361 is a deficient number, since it is larger than the sum of its proper divisors (35209919).

131415361 is a wasteful number, since it uses less digits than its factorization.

131415361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29004.

The product of its digits is 1080, while the sum is 25.

The square root of 131415361 is about 11463.6539113845. The cubic root of 131415361 is about 508.4115140048.

Adding to 131415361 its reverse (163514131), we get a palindrome (294929492).

The spelling of 131415361 in words is "one hundred thirty-one million, four hundred fifteen thousand, three hundred sixty-one".

Divisors: 1 7 11 59 77 413 649 4543 28927 202489 318197 1706693 2227379 11946851 18773623 131415361