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30221001120220 = 22537431423667427
BaseRepresentation
bin1101101111100011000000…
…00010010101100111011100
310222000002200112021212222221
412313301200002111213130
512430120102241321340
6144135200344115124
76236252403045031
oct667614002254734
9128002615255887
1030221001120220
1196a17222aa759
123481048165aa4
1313b2a9c676081
147669c06b3388
153761b6d1c44a
hex1b7c600959dc

30221001120220 has 96 divisors (see below), whose sum is σ = 66742116553728. Its totient is φ = 11480068922112.

The previous prime is 30221001120209. The next prime is 30221001120221. The reversal of 30221001120220 is 2202110012203.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 30221001120194 and 30221001120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30221001120221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44946147 + ... + 45613573.

It is an arithmetic number, because the mean of its divisors is an integer number (695230380768).

Almost surely, 230221001120220 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 30221001120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33371058276864).

30221001120220 is an abundant number, since it is smaller than the sum of its proper divisors (36521115433508).

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

30221001120220 is a wasteful number, since it uses less digits than its factorization.

30221001120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668939 (or 668937 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 30221001120220 its reverse (2202110012203), we get a palindrome (32423111132423).

The spelling of 30221001120220 in words is "thirty trillion, two hundred twenty-one billion, one million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 43 74 86 148 172 185 215 370 430 740 860 1423 1591 2846 3182 5692 6364 7115 7955 14230 15910 28460 31820 52651 61189 105302 122378 210604 244756 263255 305945 526510 611890 667427 1053020 1223780 1334854 2263993 2669708 3337135 4527986 6674270 9055972 11319965 13348540 22639930 24694799 28699361 45279860 49389598 57398722 98779196 114797444 123473995 143496805 246947990 286993610 493895980 573987220 949748621 1061876357 1899497242 2123752714 3798994484 4247505428 4748743105 5309381785 9497486210 10618763570 18994972420 21237527140 35140698977 40839190703 70281397954 81678381406 140562795908 163356762812 175703494885 204195953515 351406989770 408391907030 702813979540 816783814060 1511050056011 3022100112022 6044200224044 7555250280055 15110500560110 30221001120220