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30202210020 = 223510322921341
BaseRepresentation
bin11100001000001100…
…010010011011100100
32212221211210020101010
4130020030102123210
5443323231210040
621512534102220
72116303356303
oct341014223344
985854706333
1030202210020
11118993a6454
125a2a7aa970
132b042442b8
14166724443a
15bbb76ce80
hex7083126e4

30202210020 has 96 divisors (see below), whose sum is σ = 85764107520. Its totient is φ = 7940528640.

The previous prime is 30202210001. The next prime is 30202210021. The reversal of 30202210020 is 2001220203.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 30202209978 and 30202210005.

It is not an unprimeable number, because it can be changed into a prime (30202210021) 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, 1404550 + ... + 1425890.

It is an arithmetic number, because the mean of its divisors is an integer number (893376120).

Almost surely, 230202210020 is an apocalyptic number.

30202210020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30202210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42882053760).

30202210020 is an abundant number, since it is smaller than the sum of its proper divisors (55561897500).

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

30202210020 is a wasteful number, since it uses less digits than its factorization.

30202210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21685 (or 21683 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 30202210020 its reverse (2001220203), we get a palindrome (32203430223).

The spelling of 30202210020 in words is "thirty billion, two hundred two million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 229 309 412 458 515 618 687 916 1030 1145 1236 1374 1545 2060 2290 2748 3090 3435 4580 6180 6870 13740 21341 23587 42682 47174 64023 70761 85364 94348 106705 117935 128046 141522 213410 235870 256092 283044 320115 353805 426820 471740 640230 707610 1280460 1415220 2198123 4396246 4887089 6594369 8792492 9774178 10990615 13188738 14661267 19548356 21981230 24435445 26377476 29322534 32971845 43962460 48870890 58645068 65943690 73306335 97741780 131887380 146612670 293225340 503370167 1006740334 1510110501 2013480668 2516850835 3020221002 5033701670 6040442004 7550552505 10067403340 15101105010 30202210020