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30535605100 = 2252711132967157
BaseRepresentation
bin11100011100000100…
…000101101101101100
32220211002010110110001
4130130010011231230
51000014103330400
622010003554044
72130462234520
oct343404055554
986732113401
1030535605100
1111a4a60a080
125b0238b924
132b583354b0
14169962bd80
15bdab76a6a
hex71c105b6c

30535605100 has 576 divisors, whose sum is σ = 94003983360. Its totient is φ = 8302694400.

The previous prime is 30535605097. The next prime is 30535605119. The reversal of 30535605100 is 150653503.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 194494222 + ... + 194494378.

It is an arithmetic number, because the mean of its divisors is an integer number (163201360).

Almost surely, 230535605100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30535605100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47001991680).

30535605100 is an abundant number, since it is smaller than the sum of its proper divisors (63468378260).

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

30535605100 is a wasteful number, since it uses less digits than its factorization.

30535605100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 28.

The spelling of 30535605100 in words is "thirty billion, five hundred thirty-five million, six hundred five thousand, one hundred".