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131097006 = 23247831867
BaseRepresentation
bin1111101000001…
…10000110101110
3100010200102021200
413310012012232
5232030101011
621001510330
73151210005
oct764060656
9303612250
10131097006
1168001137
1237aa23a6
1321210bc1
14135a7c3c
15b798856
hex7d061ae

131097006 has 48 divisors (see below), whose sum is σ = 293739264. Its totient is φ = 42231312.

The previous prime is 131096993. The next prime is 131097007. The reversal of 131097006 is 600790131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131097007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69285 + ... + 71151.

It is an arithmetic number, because the mean of its divisors is an integer number (6119568).

Almost surely, 2131097006 is an apocalyptic number.

131097006 is an abundant number, since it is smaller than the sum of its proper divisors (162642258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131097006 is a wasteful number, since it uses less digits than its factorization.

131097006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 131097006 is about 11449.7600848227. The cubic root of 131097006 is about 508.0006380838. Note that the first 3 decimals are identical.

The spelling of 131097006 in words is "one hundred thirty-one million, ninety-seven thousand, six".

Divisors: 1 2 3 6 9 18 47 83 94 141 166 249 282 423 498 747 846 1494 1867 3734 3901 5601 7802 11202 11703 16803 23406 33606 35109 70218 87749 154961 175498 263247 309922 464883 526494 789741 929766 1394649 1579482 2789298 7283167 14566334 21849501 43699002 65548503 131097006