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213002220200 = 2352711113122401
BaseRepresentation
bin1100011001011111101…
…0111111001010101000
3202100210111020220111112
43012113322333022220
511442212032021300
6241504000445452
721250251666350
oct3062772771250
9670714226445
10213002220200
1182374222730
1235346019888
1317116cba5b3
14a448c67b60
155819bb3e35
hex3197ebf2a8

213002220200 has 192 divisors, whose sum is σ = 622898881920. Its totient is φ = 65802240000.

The previous prime is 213002220199. The next prime is 213002220203. The reversal of 213002220200 is 2022200312.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (213002220203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1679000 + ... + 1801400.

It is an arithmetic number, because the mean of its divisors is an integer number (3244265010).

Almost surely, 2213002220200 is an apocalyptic number.

213002220200 is a gapful number since it is divisible by the number (20) 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 213002220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311449440960).

213002220200 is an abundant number, since it is smaller than the sum of its proper divisors (409896661720).

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

213002220200 is a wasteful number, since it uses less digits than its factorization.

213002220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122548 (or 122539 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 213002220200 its reverse (2022200312), we get a palindrome (215024420512).

The spelling of 213002220200 in words is "two hundred thirteen billion, two million, two hundred twenty thousand, two hundred".