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131414121 = 3237394637
BaseRepresentation
bin1111101010100…
…11100001101001
3100011021112021200
413311103201221
5232120222441
621012354413
73154000356
oct765234151
9304245250
10131414121
11681a8413
1238015a09
13212c2347
141364b62d
15b80c7b6
hex7d53869

131414121 has 12 divisors (see below), whose sum is σ = 194951172. Its totient is φ = 85241376.

The previous prime is 131414117. The next prime is 131414147. The reversal of 131414121 is 121414131.

131414121 is a `hidden beast` number, since 131 + 414 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 111513600 + 19900521 = 10560^2 + 4461^2 .

It is not a de Polignac number, because 131414121 - 22 = 131414117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131414094 and 131414103.

It is not an unprimeable number, because it can be changed into a prime (131410121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196986 + ... + 197651.

It is an arithmetic number, because the mean of its divisors is an integer number (16245931).

Almost surely, 2131414121 is an apocalyptic number.

It is an amenable number.

131414121 is a deficient number, since it is larger than the sum of its proper divisors (63537051).

131414121 is a wasteful number, since it uses less digits than its factorization.

131414121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394680 (or 394677 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 131414121 is about 11463.5998272794. The cubic root of 131414121 is about 508.4099149217.

Adding to 131414121 its reverse (121414131), we get a palindrome (252828252).

The spelling of 131414121 in words is "one hundred thirty-one million, four hundred fourteen thousand, one hundred twenty-one".

Divisors: 1 3 9 37 111 333 394637 1183911 3551733 14601569 43804707 131414121