Search a number
-
+
131002140 = 223513715937
BaseRepresentation
bin1111100111011…
…10111100011100
3100010111121011010
413303232330130
5232014032030
620555455220
73150333303
oct763567434
9303447133
10131002140
1167a46935
1237a57510
13211a9979
141358143a
15b77a6b0
hex7ceef1c

131002140 has 48 divisors (see below), whose sum is σ = 369506592. Its totient is φ = 34676736.

The previous prime is 131002129. The next prime is 131002147. The reversal of 131002140 is 41200131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131002147) 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, 252 + ... + 16188.

It is an arithmetic number, because the mean of its divisors is an integer number (7698054).

Almost surely, 2131002140 is an apocalyptic number.

131002140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131002140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184753296).

131002140 is an abundant number, since it is smaller than the sum of its proper divisors (238504452).

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

131002140 is a wasteful number, since it uses less digits than its factorization.

131002140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16086 (or 16084 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 131002140 is about 11445.6166282119. The cubic root of 131002140 is about 507.8780733279.

Adding to 131002140 its reverse (41200131), we get a palindrome (172202271).

The spelling of 131002140 in words is "one hundred thirty-one million, two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1644 2055 2740 4110 8220 15937 31874 47811 63748 79685 95622 159370 191244 239055 318740 478110 956220 2183369 4366738 6550107 8733476 10916845 13100214 21833690 26200428 32750535 43667380 65501070 131002140