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2001001202200 = 23527111323492203
BaseRepresentation
bin11101000111100100111…
…101110100001000011000
321002021221012210012012001
4131013210331310020120
5230241022301432300
64131125224130344
7264365450403640
oct35074475641030
97067835705161
102001001202200
11701690015920
122839833069b4
13116902b02800
146cbc5831520
15370b5d4a16a
hex1d1e4f74218

2001001202200 has 576 divisors, whose sum is σ = 6301659168000. Its totient is φ = 573802444800.

The previous prime is 2001001202183. The next prime is 2001001202203. The reversal of 2001001202200 is 22021001002.

It is a super-2 number, since 2×20010012022002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001001202203) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 908306299 + ... + 908308501.

It is an arithmetic number, because the mean of its divisors is an integer number (10940380500).

Almost surely, 22001001202200 is an apocalyptic number.

2001001202200 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 2001001202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150829584000).

2001001202200 is an abundant number, since it is smaller than the sum of its proper divisors (4300657965800).

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

2001001202200 is a wasteful number, since it uses less digits than its factorization.

2001001202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2001001202200 its reverse (22021001002), we get a palindrome (2023022203202).

The spelling of 2001001202200 in words is "two trillion, one billion, one million, two hundred two thousand, two hundred".