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131600196 = 2232713172139
BaseRepresentation
bin1111101100000…
…00111101000100
3100011121222112100
413312000331010
5232142201241
621020352100
73155404020
oct766007504
9304558470
10131600196
11683151a2
12380a5630
1321358c50
1413699380
15b8479b6
hex7d80f44

131600196 has 216 divisors, whose sum is σ = 438052160. Its totient is φ = 32431104.

The previous prime is 131600171. The next prime is 131600233. The reversal of 131600196 is 691006131.

It is a super-2 number, since 2×1316001962 = 34637223174476832, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 946695 + ... + 946833.

Almost surely, 2131600196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131600196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219026080).

131600196 is an abundant number, since it is smaller than the sum of its proper divisors (306451964).

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

131600196 is a wasteful number, since it uses less digits than its factorization.

131600196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 131600196 is about 11471.7128625153. The cubic root of 131600196 is about 508.6497616970.

The spelling of 131600196 in words is "one hundred thirty-one million, six hundred thousand, one hundred ninety-six".