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13004060130 = 23257316312143
BaseRepresentation
bin11000001110001101…
…00011010111100010
31020120021102200220200
430013012203113202
5203113014411010
65550214050030
7640152454515
oct140706432742
936507380820
1013004060130
1155734a8936
12262b049916
1312c3193a49
148b5104d7c
155119a4cc0
hex3071a35e2

13004060130 has 96 divisors (see below), whose sum is σ = 34486822656. Its totient is φ = 3398982912.

The previous prime is 13004060059. The next prime is 13004060177. The reversal of 13004060130 is 3106040031.

13004060130 is a `hidden beast` number, since 1 + 30 + 0 + 4 + 0 + 601 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1064839 + ... + 1076981.

It is an arithmetic number, because the mean of its divisors is an integer number (359237736).

Almost surely, 213004060130 is an apocalyptic number.

13004060130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13004060130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17243411328).

13004060130 is an abundant number, since it is smaller than the sum of its proper divisors (21482762526).

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

13004060130 is a wasteful number, since it uses less digits than its factorization.

13004060130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12392 (or 12389 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The spelling of 13004060130 in words is "thirteen billion, four million, sixty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 163 219 326 365 438 489 657 730 815 978 1095 1314 1467 1630 2190 2445 2934 3285 4890 6570 7335 11899 12143 14670 23798 24286 35697 36429 59495 60715 71394 72858 107091 109287 118990 121430 178485 182145 214182 218574 356970 364290 535455 546435 886439 1070910 1092870 1772878 1979309 2659317 3958618 4432195 5318634 5937927 7977951 8864390 9896545 11875854 13296585 15955902 17813781 19793090 26593170 29689635 35627562 39889755 59379270 79779510 89068905 144489557 178137810 288979114 433468671 722447785 866937342 1300406013 1444895570 2167343355 2600812026 4334686710 6502030065 13004060130