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30221132120 = 235532277971
BaseRepresentation
bin11100001001010100…
…011110000101011000
32220000011101120121122
4130021110132011120
5443343102211440
621514451424412
72116623245624
oct341124360530
986004346548
1030221132120
11118a904a953
125a34bb5108
132b0813abca
14166996c184
15bbd2597b5
hex70951e158

30221132120 has 96 divisors (see below), whose sum is σ = 69626556720. Its totient is φ = 11805381120.

The previous prime is 30221132107. The next prime is 30221132171. The reversal of 30221132120 is 2123112203.

It is a super-2 number, since 2×302211321202 (a number of 22 digits) contains 22 as substring.

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, 31123235 + ... + 31124205.

Almost surely, 230221132120 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 30221132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34813278360).

30221132120 is an abundant number, since it is smaller than the sum of its proper divisors (39405424600).

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

30221132120 is a wasteful number, since it uses less digits than its factorization.

30221132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 30221132120 its reverse (2123112203), we get a palindrome (32344244323).

The spelling of 30221132120 in words is "thirty billion, two hundred twenty-one million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 277 424 530 554 971 1060 1108 1385 1942 2120 2216 2770 2809 3884 4855 5540 5618 7768 9710 11080 11236 14045 14681 19420 22472 28090 29362 38840 51463 56180 58724 73405 102926 112360 117448 146810 205852 257315 268967 293620 411704 514630 537934 587240 778093 1029260 1075868 1344835 1556186 2058520 2151736 2689670 2727539 3112372 3890465 5379340 5455078 6224744 7780930 10758680 10910156 13637695 14255251 15561860 21820312 27275390 28510502 31123720 54550780 57021004 71276255 109101560 114042008 142552510 285105020 570210040 755528303 1511056606 3022113212 3777641515 6044226424 7555283030 15110566060 30221132120