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30332013221320 = 23541137283347653
BaseRepresentation
bin1101110010110001110001…
…10111111001010111001000
310222101201020011010221001221
412321120320313321113020
512433424430341040240
6144302200130451424
76250262364246406
oct671307067712710
9128351204127057
1030332013221320
119734809789358
12349a669a33b74
1313c03b1759165
1476c112074476
15379012bd6a4a
hex1b9638df95c8

30332013221320 has 128 divisors (see below), whose sum is σ = 70448231075040. Its totient is φ = 11746088386560.

The previous prime is 30332013221261. The next prime is 30332013221333. The reversal of 30332013221320 is 2312231023303.

It can be written as a sum of positive squares in 16 ways, for example, as 124040613636 + 30207972607684 = 352194^2 + 5496178^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636494614 + ... + 636542266.

Almost surely, 230332013221320 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 30332013221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35224115537520).

30332013221320 is an abundant number, since it is smaller than the sum of its proper divisors (40116217853720).

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

30332013221320 is a wasteful number, since it uses less digits than its factorization.

30332013221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50675 (or 50671 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 30332013221320 its reverse (2312231023303), we get a palindrome (32644244244623).

The spelling of 30332013221320 in words is "thirty trillion, three hundred thirty-two billion, thirteen million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 137 164 205 274 328 410 548 685 820 1096 1370 1640 2740 2833 5480 5617 5666 11234 11332 14165 22468 22664 28085 28330 44936 47653 56170 56660 95306 112340 113320 116153 190612 224680 232306 238265 381224 388121 464612 476530 580765 776242 929224 953060 1161530 1552484 1906120 1940605 1953773 2323060 3104968 3881210 3907546 4646120 6528461 7762420 7815092 9768865 13056922 15524840 15630184 15912961 19537730 26113844 31825922 32642305 39075460 52227688 63651844 65284610 78150920 79564805 127303688 130569220 135000949 159129610 261138440 267666901 270001898 318259220 535333802 540003796 636518440 675004745 1070667604 1080007592 1338334505 1350009490 2141335208 2676669010 2700018980 5353338020 5400037960 5535038909 10706676040 11070077818 18495130013 22140155636 27675194545 36990260026 44280311272 55350389090 73980520052 92475650065 110700778180 147961040104 184951300130 221401556360 369902600260 739805200520 758300330533 1516600661066 3033201322132 3791501652665 6066402644264 7583003305330 15166006610660 30332013221320