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30221321000 = 23531310123017
BaseRepresentation
bin11100001001010101…
…001100001100101000
32220000011202011201012
4130021111030030220
5443343124233000
621514455443052
72116624663403
oct341125141450
986004664635
1030221321000
11118a9169852
125a35086488
132b081a5b80
1416699bad3a
15bbd295735
hex70954c328

30221321000 has 128 divisors (see below), whose sum is σ = 76915107360. Its totient is φ = 11047680000.

The previous prime is 30221320991. The next prime is 30221321003. The reversal of 30221321000 is 12312203.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 304083844 + 29917237156 = 17438^2 + 172966^2 .

It is not an unprimeable number, because it can be changed into a prime (30221321003) 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, 1301492 + ... + 1324508.

Almost surely, 230221321000 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 30221321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38457553680).

30221321000 is an abundant number, since it is smaller than the sum of its proper divisors (46693786360).

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

30221321000 is a wasteful number, since it uses less digits than its factorization.

30221321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23152 (or 23138 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 30221321000 its reverse (12312203), we get a palindrome (30233633203).

The spelling of 30221321000 in words is "thirty billion, two hundred twenty-one million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 101 104 125 130 200 202 250 260 325 404 500 505 520 650 808 1000 1010 1300 1313 1625 2020 2525 2600 2626 3250 4040 5050 5252 6500 6565 10100 10504 12625 13000 13130 20200 23017 25250 26260 32825 46034 50500 52520 65650 92068 101000 115085 131300 164125 184136 230170 262600 299221 328250 460340 575425 598442 656500 920680 1150850 1196884 1313000 1496105 2301700 2324717 2393768 2877125 2992210 4603400 4649434 5754250 5984420 7480525 9298868 11508500 11623585 11968840 14961050 18597736 23017000 23247170 29922100 30221321 37402625 46494340 58117925 59844200 60442642 74805250 92988680 116235850 120885284 149610500 151106605 232471700 241770568 290589625 299221000 302213210 464943400 581179250 604426420 755533025 1162358500 1208852840 1511066050 2324717000 3022132100 3777665125 6044264200 7555330250 15110660500 30221321000