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2002201101120 = 2635111729384589
BaseRepresentation
bin11101001000101100011…
…111000100001101000000
321002102000211121101001210
4131020230133010031000
5230301001440213440
64131444250130120
7264440260361343
oct35105437041500
97072024541053
102002201101120
11702146362720
12284059120940
13116a6458cc7c
146cc9ad3645a
1537136365a80
hex1d22c7c4340

2002201101120 has 448 divisors, whose sum is σ = 7596052473600. Its totient is φ = 441076285440.

The previous prime is 2002201101107. The next prime is 2002201101133. The reversal of 2002201101120 is 211011022002.

It is an interprime number because it is at equal distance from previous prime (2002201101107) and next prime (2002201101133).

It is a super-2 number, since 2×20022011011202 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2002201101096 and 2002201101105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5013786 + ... + 5398374.

Almost surely, 22002201101120 is an apocalyptic number.

2002201101120 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 2002201101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3798026236800).

2002201101120 is an abundant number, since it is smaller than the sum of its proper divisors (5593851372480).

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

2002201101120 is a wasteful number, since it uses less digits than its factorization.

2002201101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384666 (or 384656 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2002201101120 its reverse (211011022002), we get a palindrome (2213212123122).

The spelling of 2002201101120 in words is "two trillion, two billion, two hundred one million, one hundred one thousand, one hundred twenty".