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131061150 = 232521122983
BaseRepresentation
bin1111100111111…
…01010110011110
3100010121121002200
413303331112132
5232022424100
621001032330
73151000323
oct763752636
9303547080
10131061150
1167a87200
1237a856a6
13211ca79c
1413598b4a
15b78ce00
hex7cfd59e

131061150 has 216 divisors, whose sum is σ = 405208440. Its totient is φ = 30307200.

The previous prime is 131061137. The next prime is 131061163. The reversal of 131061150 is 51160131.

131061150 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 611 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (131061137) and next prime (131061163).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1579009 + ... + 1579091.

It is an arithmetic number, because the mean of its divisors is an integer number (1875965).

Almost surely, 2131061150 is an apocalyptic number.

131061150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131061150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202604220).

131061150 is an abundant number, since it is smaller than the sum of its proper divisors (274147290).

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

131061150 is a wasteful number, since it uses less digits than its factorization.

131061150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 131061150 is about 11448.1941807431. The cubic root of 131061150 is about 507.9543198845.

The spelling of 131061150 in words is "one hundred thirty-one million, sixty-one thousand, one hundred fifty".