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131142031 = 2943910301
BaseRepresentation
bin1111101000100…
…01000110001111
3100010202201001021
413310101012033
5232033021111
621002455011
73151455166
oct764210617
9303681037
10131142031
1168031a49
1237b04467
1321228547
14135ba3dd
15b7a6d71
hex7d1118f

131142031 has 8 divisors (see below), whose sum is σ = 135986400. Its totient is φ = 126319200.

The previous prime is 131142019. The next prime is 131142043. The reversal of 131142031 is 130241131.

It is an interprime number because it is at equal distance from previous prime (131142019) and next prime (131142043).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131142031 - 25 = 131141999 is a prime.

It is a super-3 number, since 3×1311420313 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131141996 and 131142014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131142001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7581 + ... + 17881.

It is an arithmetic number, because the mean of its divisors is an integer number (16998300).

Almost surely, 2131142031 is an apocalyptic number.

131142031 is a deficient number, since it is larger than the sum of its proper divisors (4844369).

131142031 is a wasteful number, since it uses less digits than its factorization.

131142031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10769.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 131142031 is about 11451.7261144336. The cubic root of 131142031 is about 508.0587886890.

Adding to 131142031 its reverse (130241131), we get a palindrome (261383162).

The spelling of 131142031 in words is "one hundred thirty-one million, one hundred forty-two thousand, thirty-one".

Divisors: 1 29 439 10301 12731 298729 4522139 131142031