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10220020200 = 2332521319127181
BaseRepresentation
bin10011000010010100…
…10010000111101000
3222101020202211002200
421201022102013220
5131412311121300
64410042300200
7511155511155
oct114112220750
928336684080
1010220020200
114374a31495
121b927b7660
13c6b464140
146cd47722c
153ec36e200
hex2612921e8

10220020200 has 576 divisors, whose sum is σ = 39430809600. Its totient is φ = 2351462400.

The previous prime is 10220020199. The next prime is 10220020211. The reversal of 10220020200 is 202002201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56464110 + ... + 56464290.

Almost surely, 210220020200 is an apocalyptic number.

10220020200 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 10220020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19715404800).

10220020200 is an abundant number, since it is smaller than the sum of its proper divisors (29210789400).

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

10220020200 is a wasteful number, since it uses less digits than its factorization.

10220020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 10220020200 its reverse (202002201), we get a palindrome (10422022401).

The spelling of 10220020200 in words is "ten billion, two hundred twenty million, twenty thousand, two hundred".