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131030032 = 2475979251
BaseRepresentation
bin1111100111101…
…01110000010000
3100010120000102011
413303311300100
5232020430112
621000232304
73150510520
oct763656020
9303500364
10131030032
1167a65891
1237a6b694
13211b9583
141358b680
15b783aa7
hex7cf5c10

131030032 has 80 divisors (see below), whose sum is σ = 299980800. Its totient is φ = 54288000.

The previous prime is 131029993. The next prime is 131030047. The reversal of 131030032 is 230030131.

It is a junction number, because it is equal to n+sod(n) for n = 131029994 and 131030021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521907 + ... + 522157.

It is an arithmetic number, because the mean of its divisors is an integer number (3749760).

Almost surely, 2131030032 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 131030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

131030032 is an abundant number, since it is smaller than the sum of its proper divisors (168950768).

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

131030032 is a wasteful number, since it uses less digits than its factorization.

131030032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 131030032 is about 11446.8350210877. The cubic root of 131030032 is about 507.9141153090.

Adding to 131030032 its reverse (230030131), we get a palindrome (361060163).

Subtracting 131030032 from its reverse (230030131), we obtain a palindrome (99000099).

The spelling of 131030032 in words is "one hundred thirty-one million, thirty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 59 79 112 118 158 236 251 316 413 472 502 553 632 826 944 1004 1106 1264 1652 1757 2008 2212 3304 3514 4016 4424 4661 6608 7028 8848 9322 14056 14809 18644 19829 28112 29618 32627 37288 39658 59236 65254 74576 79316 103663 118472 130508 138803 158632 207326 236944 261016 277606 317264 414652 522032 555212 829304 1110424 1169911 1658608 2220848 2339822 4679644 8189377 9359288 16378754 18718576 32757508 65515016 131030032