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1407130131 = 311127733391
BaseRepresentation
bin101001111011111…
…0001101000010011
310122001202121122210
41103313301220103
510340211131011
6351343403203
746604260131
oct12367615023
93561677583
101407130131
11662319770
123332b3503
131956a6ca4
14d4c4a751
15838026a6
hex53df1a13

1407130131 has 16 divisors (see below), whose sum is σ = 2048398848. Its totient is φ = 852112800.

The previous prime is 1407130129. The next prime is 1407130147. The reversal of 1407130131 is 1310317041.

It is not a de Polignac number, because 1407130131 - 21 = 1407130129 is a prime.

It is a super-2 number, since 2×14071301312 = 3960030411136154322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1407130098 and 1407130107.

It is not an unprimeable number, because it can be changed into a prime (1407130111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25446 + ... + 58836.

It is an arithmetic number, because the mean of its divisors is an integer number (128024928).

Almost surely, 21407130131 is an apocalyptic number.

1407130131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1407130131 is a deficient number, since it is larger than the sum of its proper divisors (641268717).

1407130131 is a wasteful number, since it uses less digits than its factorization.

1407130131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34682.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 1407130131 is about 37511.7332444130. The cubic root of 1407130131 is about 1120.5848696419.

Adding to 1407130131 its reverse (1310317041), we get a palindrome (2717447172).

The spelling of 1407130131 in words is "one billion, four hundred seven million, one hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 11 33 1277 3831 14047 33391 42141 100173 367301 1101903 42640307 127920921 469043377 1407130131