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33020104200 = 23352432515099
BaseRepresentation
bin11110110000001001…
…101100111000001000
310011020020011002111020
4132300021230320020
51020111121313300
623100315232440
72246161153236
oct366011547010
9104206132436
1033020104200
1113004a96016
126496448720
133162c982c5
1418535a5956
15cd3d3e8a0
hex7b026ce08

33020104200 has 192 divisors, whose sum is σ = 105180768000. Its totient is φ = 8564640000.

The previous prime is 33020104193. The next prime is 33020104217. The reversal of 33020104200 is 240102033.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 33020104200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6473251 + ... + 6478349.

It is an arithmetic number, because the mean of its divisors is an integer number (547816500).

Almost surely, 233020104200 is an apocalyptic number.

33020104200 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 33020104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52590384000).

33020104200 is an abundant number, since it is smaller than the sum of its proper divisors (72160663800).

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

33020104200 is a wasteful number, since it uses less digits than its factorization.

33020104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5412 (or 5403 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 33020104200 its reverse (240102033), we get a palindrome (33260206233).

The spelling of 33020104200 in words is "thirty-three billion, twenty million, one hundred four thousand, two hundred".