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131042328 = 2334322953
BaseRepresentation
bin1111100111110…
…00110000011000
3100010120122021120
413303320300120
5232021323303
621000405240
73150561414
oct763706030
9303518246
10131042328
1167a7404a
1237a76820
13211c2051
1413591d44
15b787553
hex7cf8c18

131042328 has 48 divisors (see below), whose sum is σ = 335515320. Its totient is φ = 42650496.

The previous prime is 131042299. The next prime is 131042347. The reversal of 131042328 is 823240131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 131042298 and 131042307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42900 + ... + 45852.

Almost surely, 2131042328 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 131042328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167757660).

131042328 is an abundant number, since it is smaller than the sum of its proper divisors (204472992).

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

131042328 is a wasteful number, since it uses less digits than its factorization.

131042328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 131042328 is about 11447.3721001809. The cubic root of 131042328 is about 507.9300025488.

Adding to 131042328 its reverse (823240131), we get a palindrome (954282459).

The spelling of 131042328 in words is "one hundred thirty-one million, forty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 1849 2953 3698 5547 5906 7396 8859 11094 11812 14792 17718 22188 23624 35436 44376 70872 126979 253958 380937 507916 761874 1015832 1523748 3047496 5460097 10920194 16380291 21840388 32760582 43680776 65521164 131042328