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13020312032 = 2571315129611
BaseRepresentation
bin11000010000001001…
…00011000111100000
31020121102000101022222
430020010203013200
5203131144441112
65551554250212
7640440553250
oct141004430740
936542011288
1013020312032
115581699162
122634586968
1312c6664160
148b7335960
15513115372
hex3081231e0

13020312032 has 96 divisors (see below), whose sum is σ = 31759225344. Its totient is φ = 5116608000.

The previous prime is 13020312017. The next prime is 13020312073. The reversal of 13020312032 is 23021302031.

It is a self number, because there is not a number n which added to its sum of digits gives 13020312032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424907 + ... + 454517.

It is an arithmetic number, because the mean of its divisors is an integer number (330825264).

Almost surely, 213020312032 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 13020312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15879612672).

13020312032 is an abundant number, since it is smaller than the sum of its proper divisors (18738913312).

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

13020312032 is a wasteful number, since it uses less digits than its factorization.

13020312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29792 (or 29784 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13020312032 its reverse (23021302031), we get a palindrome (36041614063).

The spelling of 13020312032 in words is "thirteen billion, twenty million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 151 182 208 224 302 364 416 604 728 1057 1208 1456 1963 2114 2416 2912 3926 4228 4832 7852 8456 13741 15704 16912 27482 29611 31408 33824 54964 59222 62816 109928 118444 207277 219856 236888 384943 414554 439712 473776 769886 829108 947552 1539772 1658216 2694601 3079544 3316432 4471261 5389202 6159088 6632864 8942522 10778404 12318176 17885044 21556808 31298827 35770088 43113616 58126393 62597654 71540176 86227232 116252786 125195308 143080352 232505572 250390616 406884751 465011144 500781232 813769502 930022288 1001562464 1627539004 1860044576 3255078008 6510156016 13020312032