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131121413 = 1923319679
BaseRepresentation
bin1111101000011…
…00000100000101
3100010201122202122
413310030010011
5232031341123
621002215325
73151341113
oct764140405
9303648678
10131121413
1168018505
1237ab4545
132121c047
14135b2ab3
15b7a0bc8
hex7d0c105

131121413 has 16 divisors (see below), whose sum is σ = 148684800. Its totient is φ = 114974640.

The previous prime is 131121409. The next prime is 131121433. The reversal of 131121413 is 314121131.

It is a cyclic number.

It is not a de Polignac number, because 131121413 - 22 = 131121409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131121391 and 131121400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131121433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8708 + ... + 18386.

It is an arithmetic number, because the mean of its divisors is an integer number (9292800).

Almost surely, 2131121413 is an apocalyptic number.

It is an amenable number.

131121413 is a deficient number, since it is larger than the sum of its proper divisors (17563387).

131121413 is a wasteful number, since it uses less digits than its factorization.

131121413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9752.

The product of its digits is 72, while the sum is 17.

The square root of 131121413 is about 11450.8258654125. The cubic root of 131121413 is about 508.0321618198.

Adding to 131121413 its reverse (314121131), we get a palindrome (445242544).

The spelling of 131121413 in words is "one hundred thirty-one million, one hundred twenty-one thousand, four hundred thirteen".

Divisors: 1 19 23 31 437 589 713 9679 13547 183901 222617 300049 4229723 5700931 6901127 131121413