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130251108832 = 25133110100117
BaseRepresentation
bin111100101001110010…
…0100011000111100000
3110110012102102220011221
41321103210203013200
54113223240440312
6135500405144424
712260513105035
oct1712344430740
9413172386157
10130251108832
115026a39a999
12212b09bb114
13c389c14b40
14643899338c
1535c4e16207
hex1e539231e0

130251108832 has 48 divisors (see below), whose sum is σ = 285065730432. Its totient is φ = 58176668160.

The previous prime is 130251108817. The next prime is 130251108907. The reversal of 130251108832 is 238801152031.

It is a super-3 number, since 3×1302511088323 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5037163 + ... + 5062954.

It is an arithmetic number, because the mean of its divisors is an integer number (5938869384).

Almost surely, 2130251108832 is an apocalyptic number.

It is an amenable number.

130251108832 is an abundant number, since it is smaller than the sum of its proper divisors (154814621600).

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

130251108832 is a wasteful number, since it uses less digits than its factorization.

130251108832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100171 (or 10100163 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 130251108832 in words is "one hundred thirty billion, two hundred fifty-one million, one hundred eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 992 1612 3224 6448 12896 10100117 20200234 40400468 80800936 131301521 161601872 262603042 313103627 323203744 525206084 626207254 1050412168 1252414508 2100824336 2504829016 4070347151 4201648672 5009658032 8140694302 10019316064 16281388604 32562777208 65125554416 130251108832