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131049150 = 23527911059
BaseRepresentation
bin1111100111110…
…10011010111110
3100010120222122020
413303322122332
5232022033100
621000501010
73150620331
oct763723276
9303528566
10131049150
1167a79191
1237a7a766
13211c519b
1413594618
15b7895a0
hex7cfa6be

131049150 has 48 divisors (see below), whose sum is σ = 329145600. Its totient is φ = 34500960.

The previous prime is 131049097. The next prime is 131049157. The reversal of 131049150 is 51940131.

It is a self number, because there is not a number n which added to its sum of digits gives 131049150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131049157) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6321 + ... + 17379.

It is an arithmetic number, because the mean of its divisors is an integer number (6857200).

Almost surely, 2131049150 is an apocalyptic number.

131049150 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 131049150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164572800).

131049150 is an abundant number, since it is smaller than the sum of its proper divisors (198096450).

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

131049150 is a wasteful number, since it uses less digits than its factorization.

131049150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11153 (or 11148 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 131049150 is about 11447.6700686210. The cubic root of 131049150 is about 507.9388165924.

Adding to 131049150 its reverse (51940131), we get a palindrome (182989281).

The spelling of 131049150 in words is "one hundred thirty-one million, forty-nine thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 79 150 158 237 395 474 790 1185 1975 2370 3950 5925 11059 11850 22118 33177 55295 66354 110590 165885 276475 331770 552950 829425 873661 1658850 1747322 2620983 4368305 5241966 8736610 13104915 21841525 26209830 43683050 65524575 131049150