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20101222200 = 23352831672417
BaseRepresentation
bin10010101110001000…
…000100111100111000
31220212212222220000010
4102232020010330320
5312131403102300
613122342541520
71311061366233
oct225610047470
956785886003
1020101222200
118585685834
123a8ba378a0
131b84658827
14d8991441a
157c9ab2a50
hex4ae204f38

20101222200 has 192 divisors, whose sum is σ = 63468437760. Its totient is φ = 5261854720.

The previous prime is 20101222199. The next prime is 20101222237. The reversal of 20101222200 is 222210102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 8315392 + ... + 8317808.

It is an arithmetic number, because the mean of its divisors is an integer number (330564780).

Almost surely, 220101222200 is an apocalyptic number.

20101222200 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 20101222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31734218880).

20101222200 is an abundant number, since it is smaller than the sum of its proper divisors (43367215560).

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

20101222200 is a wasteful number, since it uses less digits than its factorization.

20101222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20101222200 its reverse (222210102), we get a palindrome (20323432302).

The spelling of 20101222200 in words is "twenty billion, one hundred one million, two hundred twenty-two thousand, two hundred".