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30313340100 = 22335211227163
BaseRepresentation
bin11100001110110100…
…001101110011000100
32220020120220020012000
4130032310031303010
5444040203340400
621531544025300
72122123065561
oct341664156304
986216806160
1030313340100
11119460aa09a
125a5ba62230
132b21283b44
141677cd1868
15bc63c0600
hex70ed0dcc4

30313340100 has 72 divisors (see below), whose sum is σ = 97451783520. Its totient is φ = 8083556640.

The previous prime is 30313340053. The next prime is 30313340149. The reversal of 30313340100 is 104331303.

30313340100 is a `hidden beast` number, since 3 + 0 + 313 + 340 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5610882 + ... + 5616281.

Almost surely, 230313340100 is an apocalyptic number.

30313340100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30313340100 is an abundant number, since it is smaller than the sum of its proper divisors (67138443420).

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

30313340100 is a wasteful number, since it uses less digits than its factorization.

30313340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11227186 (or 11227173 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30313340100 its reverse (104331303), we get a palindrome (30417671403).

The spelling of 30313340100 in words is "thirty billion, three hundred thirteen million, three hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 11227163 22454326 33681489 44908652 56135815 67362978 101044467 112271630 134725956 168407445 202088934 224543260 280679075 303133401 336814890 404177868 505222335 561358150 606266802 673629780 842037225 1010444670 1122716300 1212533604 1515667005 1684074450 2020889340 2526111675 3031334010 3368148900 5052223350 6062668020 7578335025 10104446700 15156670050 30313340100