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30583442100 = 22352283360229
BaseRepresentation
bin11100011110111010…
…100100101010110100
32220221102010211110210
4130132322210222310
51000113330121400
622014433145420
72131612653141
oct343672445264
986842124423
1030583442100
1111a74612792
125b163bb270
132b65214203
1416a1b213c8
15bdee75950
hex71eea4ab4

30583442100 has 72 divisors (see below), whose sum is σ = 88801017760. Its totient is φ = 8126743680.

The previous prime is 30583442089. The next prime is 30583442101. The reversal of 30583442100 is 124438503.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30583442101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95215 + ... + 265014.

Almost surely, 230583442100 is an apocalyptic number.

30583442100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30583442100 is an abundant number, since it is smaller than the sum of its proper divisors (58217575660).

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

30583442100 is a wasteful number, since it uses less digits than its factorization.

30583442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360529 (or 360522 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 30583442100 in words is "thirty billion, five hundred eighty-three million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 283 300 566 849 1132 1415 1698 2830 3396 4245 5660 7075 8490 14150 16980 21225 28300 42450 84900 360229 720458 1080687 1440916 1801145 2161374 3602290 4322748 5403435 7204580 9005725 10806870 18011450 21613740 27017175 36022900 54034350 101944807 108068700 203889614 305834421 407779228 509724035 611668842 1019448070 1223337684 1529172105 2038896140 2548620175 3058344210 5097240350 6116688420 7645860525 10194480700 15291721050 30583442100