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131193729 = 337168437
BaseRepresentation
bin1111101000111…
…01101110000001
3100010212022222000
413310131232001
5232041144404
621003534213
73152062002
oct764355601
9303768860
10131193729
1168067877
1237b2a369
1321245c34
14135d11a9
15b7b7339
hex7d1db81

131193729 has 16 divisors (see below), whose sum is σ = 197101440. Its totient is φ = 86229360.

The previous prime is 131193691. The next prime is 131193781. The reversal of 131193729 is 927391131.

It is a happy number.

It is not a de Polignac number, because 131193729 - 211 = 131191681 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131193693 and 131193702.

It is not an unprimeable number, because it can be changed into a prime (131193329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32302 + ... + 36135.

It is an arithmetic number, because the mean of its divisors is an integer number (12318840).

Almost surely, 2131193729 is an apocalyptic number.

It is an amenable number.

131193729 is a deficient number, since it is larger than the sum of its proper divisors (65907711).

131193729 is an equidigital number, since it uses as much as digits as its factorization.

131193729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68517 (or 68511 counting only the distinct ones).

The product of its digits is 10206, while the sum is 36.

The square root of 131193729 is about 11453.9831063259. The cubic root of 131193729 is about 508.1255411821.

The spelling of 131193729 in words is "one hundred thirty-one million, one hundred ninety-three thousand, seven hundred twenty-nine".

Divisors: 1 3 9 27 71 213 639 1917 68437 205311 615933 1847799 4859027 14577081 43731243 131193729