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30201232100 = 225213101230017
BaseRepresentation
bin11100001000001000…
…100011101011100100
32212221202221112220212
4130020020203223210
5443323003411400
621512501114552
72116262144234
oct341010435344
985852845825
1030201232100
1111898898756
125a2a3b8a58
132b03c91150
14166706bcc4
15bbb628335
hex708223ae4

30201232100 has 72 divisors (see below), whose sum is σ = 71277057768. Its totient is φ = 11040768000.

The previous prime is 30201232099. The next prime is 30201232111. The reversal of 30201232100 is 123210203.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 267387904 + 29933844196 = 16352^2 + 173014^2 .

It is a super-2 number, since 2×302012321002 (a number of 22 digits) contains 22 as substring.

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, 16292 + ... + 246308.

Almost surely, 230201232100 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 30201232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35638528884).

30201232100 is an abundant number, since it is smaller than the sum of its proper divisors (41075825668).

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

30201232100 is a wasteful number, since it uses less digits than its factorization.

30201232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230145 (or 230138 counting only the distinct ones).

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

Adding to 30201232100 its reverse (123210203), we get a palindrome (30324442303).

The spelling of 30201232100 in words is "thirty billion, two hundred one million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 101 130 202 260 325 404 505 650 1010 1300 1313 2020 2525 2626 5050 5252 6565 10100 13130 26260 32825 65650 131300 230017 460034 920068 1150085 2300170 2990221 4600340 5750425 5980442 11500850 11960884 14951105 23001700 23231717 29902210 46463434 59804420 74755525 92926868 116158585 149511050 232317170 299022100 302012321 464634340 580792925 604024642 1161585850 1208049284 1510061605 2323171700 3020123210 6040246420 7550308025 15100616050 30201232100