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30443344100 = 22521345135189
BaseRepresentation
bin11100010110100100…
…001001000011100100
32220120122112010010222
4130112210021003210
5444321444002400
621552510303512
72125262104151
oct342644110344
986518463128
1030443344100
1111a02524014
125a974b7b98
132b421a13a0
14168b293228
15bd2a00185
hex7169090e4

30443344100 has 72 divisors (see below), whose sum is σ = 71173231080. Its totient is φ = 11235962880.

The previous prime is 30443344091. The next prime is 30443344147. The reversal of 30443344100 is 144334403.

It can be written as a sum of positive squares in 12 ways, for example, as 20361577636 + 10081766464 = 142694^2 + 100408^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 30443344100.

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, 5864306 + ... + 5869494.

Almost surely, 230443344100 is an apocalyptic number.

It is an amenable number.

30443344100 is an abundant number, since it is smaller than the sum of its proper divisors (40729886980).

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

30443344100 is a wasteful number, since it uses less digits than its factorization.

30443344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9729 (or 9722 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 30443344100 its reverse (144334403), we get a palindrome (30587678503).

The spelling of 30443344100 in words is "thirty billion, four hundred forty-three million, three hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 4513 5189 9026 10378 18052 20756 22565 25945 45130 51890 58669 67457 90260 103780 112825 117338 129725 134914 225650 234676 259450 269828 293345 337285 451300 518900 586690 674570 1173380 1349140 1466725 1686425 2933450 3372850 5866900 6745700 23417957 46835914 93671828 117089785 234179570 304433441 468359140 585448925 608866882 1170897850 1217733764 1522167205 2341795700 3044334410 6088668820 7610836025 15221672050 30443344100