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10130302320 = 243512722617
BaseRepresentation
bin10010110111101000…
…00010010101110000
3222010222221200022020
421123310002111300
5131221324133240
64353115311440
7506016102045
oct113364022560
928128850266
1010130302320
114329323086
121b6874b580
13c559b0738
146c15a11cc
153e454b0d0
hex25bd02570

10130302320 has 120 divisors (see below), whose sum is σ = 31665254544. Its totient is φ = 2679118848.

The previous prime is 10130302319. The next prime is 10130302387. The reversal of 10130302320 is 2320303101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10130302320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3869652 + ... + 3872268.

Almost surely, 210130302320 is an apocalyptic number.

10130302320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10130302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15832627272).

10130302320 is an abundant number, since it is smaller than the sum of its proper divisors (21534952224).

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

10130302320 is a wasteful number, since it uses less digits than its factorization.

10130302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10130302320 its reverse (2320303101), we get a palindrome (12450605421).

The spelling of 10130302320 in words is "ten billion, one hundred thirty million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 240 254 381 508 635 762 1016 1270 1524 1905 2032 2540 2617 3048 3810 5080 5234 6096 7620 7851 10160 10468 13085 15240 15702 16129 20936 26170 30480 31404 32258 39255 41872 48387 52340 62808 64516 78510 80645 96774 104680 125616 129032 157020 161290 193548 209360 241935 258064 314040 322580 332359 387096 483870 628080 645160 664718 774192 967740 997077 1290320 1329436 1661795 1935480 1994154 2658872 3323590 3870960 3988308 4985385 5317744 6647180 7976616 9970770 13294360 15953232 19941540 26588720 39883080 42209593 79766160 84419186 126628779 168838372 211047965 253257558 337676744 422095930 506515116 633143895 675353488 844191860 1013030232 1266287790 1688383720 2026060464 2532575580 3376767440 5065151160 10130302320