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30221312420 = 22513176837401
BaseRepresentation
bin11100001001010101…
…001010000110100100
32220000011201201221102
4130021111022012210
5443343123444140
621514455335232
72116624626365
oct341125120644
986004651842
1030221312420
11118a9163362
125a35081518
132b081a1cb0
1416699b7b6c
15bbd292e15
hex70954a1a4

30221312420 has 48 divisors (see below), whose sum is σ = 72367062768. Its totient is φ = 10502246400.

The previous prime is 30221312393. The next prime is 30221312431. The reversal of 30221312420 is 2421312203.

It can be written as a sum of positive squares in 8 ways, for example, as 2117472256 + 28103840164 = 46016^2 + 167642^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 30221312392 and 30221312401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3414281 + ... + 3423120.

It is an arithmetic number, because the mean of its divisors is an integer number (1507647141).

Almost surely, 230221312420 is an apocalyptic number.

It is an amenable number.

30221312420 is an abundant number, since it is smaller than the sum of its proper divisors (42145750348).

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

30221312420 is a wasteful number, since it uses less digits than its factorization.

30221312420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6837440 (or 6837438 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 30221312420 its reverse (2421312203), we get a palindrome (32642624623).

The spelling of 30221312420 in words is "thirty billion, two hundred twenty-one million, three hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 6837401 13674802 27349604 34187005 68374010 88886213 116235817 136748020 177772426 232471634 355544852 444431065 464943268 581179085 888862130 1162358170 1511065621 1777724260 2324716340 3022131242 6044262484 7555328105 15110656210 30221312420