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131142105 = 3351277649
BaseRepresentation
bin1111101000100…
…01000111011001
3100010202201011000
413310101013121
5232033021410
621002455213
73151455333
oct764210731
9303681130
10131142105
1168032006
1237b04509
13212285a3
14135ba453
15b7a6dc0
hex7d111d9

131142105 has 32 divisors (see below), whose sum is σ = 235008000. Its totient is φ = 69382656.

The previous prime is 131142103. The next prime is 131142107. The reversal of 131142105 is 501241131.

It is an interprime number because it is at equal distance from previous prime (131142103) and next prime (131142107).

It is not a de Polignac number, because 131142105 - 21 = 131142103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131142103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13321 + ... + 20969.

It is an arithmetic number, because the mean of its divisors is an integer number (7344000).

Almost surely, 2131142105 is an apocalyptic number.

131142105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131142105 is a deficient number, since it is larger than the sum of its proper divisors (103865895).

131142105 is a wasteful number, since it uses less digits than its factorization.

131142105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7790 (or 7784 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 131142105 is about 11451.7293453871. The cubic root of 131142105 is about 508.0588842503.

Adding to 131142105 its reverse (501241131), we get a palindrome (632383236).

The spelling of 131142105 in words is "one hundred thirty-one million, one hundred forty-two thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 127 135 381 635 1143 1905 3429 5715 7649 17145 22947 38245 68841 114735 206523 344205 971423 1032615 2914269 4857115 8742807 14571345 26228421 43714035 131142105