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2020122100200 = 23352193713193631
BaseRepresentation
bin11101011001011000101…
…010010000000111101000
321011010021210010110012110
4131121120222100013220
5231044202224201300
64144010431242320
7265643336351151
oct35313052200750
97133253113173
102020122100200
11709802296566
1228761a9793a0
1311865c31cb39
146dabb07a928
1537834816550
hex1d658a901e8

2020122100200 has 384 divisors, whose sum is σ = 6777137664000. Its totient is φ = 496040371200.

The previous prime is 2020122100187. The next prime is 2020122100211. The reversal of 2020122100200 is 20012210202.

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

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, 556352385 + ... + 556356015.

It is an arithmetic number, because the mean of its divisors is an integer number (17648796000).

Almost surely, 22020122100200 is an apocalyptic number.

2020122100200 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 2020122100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388568832000).

2020122100200 is an abundant number, since it is smaller than the sum of its proper divisors (4757015563800).

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

2020122100200 is a wasteful number, since it uses less digits than its factorization.

2020122100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5025 (or 5016 counting only the distinct ones).

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

Adding to 2020122100200 its reverse (20012210202), we get a palindrome (2040134310402).

The spelling of 2020122100200 in words is "two trillion, twenty billion, one hundred twenty-two million, one hundred thousand, two hundred".