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10033213000200 = 233521341271115769
BaseRepresentation
bin1001001000000000101000…
…0110001100101000001000
31022112011110212100110212220
42102000022012030220020
52303341010012001300
633201105554534040
72053606241236545
oct222001206145010
938464425313786
1010033213000200
11321907519a715
121160606897320
1357a188091470
14269878187bcc
15125ec0b86da0
hex9200a18ca08

10033213000200 has 384 divisors, whose sum is σ = 34439370739200. Its totient is φ = 2400565248000.

The previous prime is 10033213000199. The next prime is 10033213000253. The reversal of 10033213000200 is 200031233001.

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 10033213000200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86607916 + ... + 86723684.

It is an arithmetic number, because the mean of its divisors is an integer number (89685861300).

Almost surely, 210033213000200 is an apocalyptic number.

10033213000200 is a gapful number since it is divisible by the number (10) 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 10033213000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17219685369600).

10033213000200 is an abundant number, since it is smaller than the sum of its proper divisors (24406157739000).

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

10033213000200 is a wasteful number, since it uses less digits than its factorization.

10033213000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116113 (or 116104 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10033213000200 its reverse (200031233001), we get a palindrome (10233244233201).

The spelling of 10033213000200 in words is "ten trillion, thirty-three billion, two hundred thirteen million, two hundred", and thus it is an aban number.