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1100120202020 = 2257172921175541
BaseRepresentation
bin10000000000100100010…
…001100001101100100100
310220011121021020122220102
4100000210101201230210
5121011021232431040
62201215505523232
7142324001266520
oct20004421415444
93804537218812
101100120202020
113946161a0604
12159264043518
137c982973128
143b363436d80
151d93b2e6515
hex10024461b24

1100120202020 has 192 divisors, whose sum is σ = 2905744181760. Its totient is φ = 341126553600.

The previous prime is 1100120202019. The next prime is 1100120202029. The reversal of 1100120202020 is 202020210011.

It is a happy number.

It is a super-2 number, since 2×11001202020202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1100120201992 and 1100120202010.

It is not an unprimeable number, because it can be changed into a prime (1100120202029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14525450 + ... + 14600990.

It is an arithmetic number, because the mean of its divisors is an integer number (15134084280).

Almost surely, 21100120202020 is an apocalyptic number.

1100120202020 is a gapful number since it is divisible by the number (10) 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 1100120202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452872090880).

1100120202020 is an abundant number, since it is smaller than the sum of its proper divisors (1805623979740).

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

1100120202020 is a wasteful number, since it uses less digits than its factorization.

1100120202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75814 (or 75812 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1100120202020 its reverse (202020210011), we get a palindrome (1302140412031).

The spelling of 1100120202020 in words is "one trillion, one hundred billion, one hundred twenty million, two hundred two thousand, twenty".