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30213932320 = 25511213120049
BaseRepresentation
bin11100001000111001…
…000000010100100000
32212222122211210100101
4130020321000110200
5443334231313240
621514033232144
72116505121145
oct341071002440
985878753311
1030213932320
11118a4a82600
125a32702654
132b067b9a80
141668a163cc
15bbc7d639a
hex708e40520

30213932320 has 144 divisors (see below), whose sum is σ = 84495511800. Its totient is φ = 10141655040.

The previous prime is 30213932311. The next prime is 30213932341. The reversal of 30213932320 is 2323931203.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26489515536 + 3724416784 = 162756^2 + 61028^2 .

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 23 ways as a sum of consecutive naturals, for example, 191656 + ... + 311704.

Almost surely, 230213932320 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 30213932320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42247755900).

30213932320 is an abundant number, since it is smaller than the sum of its proper divisors (54281579480).

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

30213932320 is a wasteful number, since it uses less digits than its factorization.

30213932320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120099 (or 120080 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

The spelling of 30213932320 in words is "thirty billion, two hundred thirteen million, nine hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 121 130 143 160 176 208 220 242 260 286 352 416 440 484 520 572 605 715 880 968 1040 1144 1210 1430 1573 1760 1936 2080 2288 2420 2860 3146 3872 4576 4840 5720 6292 7865 9680 11440 12584 15730 19360 22880 25168 31460 50336 62920 120049 125840 240098 251680 480196 600245 960392 1200490 1320539 1560637 1920784 2400980 2641078 3121274 3841568 4801960 5282156 6242548 6602695 7803185 9603920 10564312 12485096 13205390 14525929 15606370 17167007 19207840 21128624 24970192 26410780 29051858 31212740 34334014 42257248 49940384 52821560 58103716 62425480 68668028 72629645 85835035 105643120 116207432 124850960 137336056 145259290 171670070 188837077 211286240 232414864 249701920 274672112 290518580 343340140 377674154 464829728 549344224 581037160 686680280 755348308 944185385 1162074320 1373360560 1510696616 1888370770 2324148640 2746721120 3021393232 3776741540 6042786464 7553483080 15106966160 30213932320