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2200112011020 = 22357111753271657
BaseRepresentation
bin100000000001000000111…
…001010001011100001100
321210022212120220021200210
4200001000321101130030
5242021312133323040
64402414551522420
7314644553350560
oct40010071213414
97708776807623
102200112011020
11779075967580
122b6491089410
1312c614b41051
14786b37ab6a0
153c36b1ca480
hex20040e5170c

2200112011020 has 192 divisors, whose sum is σ = 7684800592896. Its totient is φ = 456903659520.

The previous prime is 2200112010991. The next prime is 2200112011021. The reversal of 2200112011020 is 201102110022.

It is a super-2 number, since 2×22001120110202 (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 = 2200112010987 and 2200112011005.

It is not an unprimeable number, because it can be changed into a prime (2200112011021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7963032 + ... + 8234688.

It is an arithmetic number, because the mean of its divisors is an integer number (40025003088).

Almost surely, 22200112011020 is an apocalyptic number.

2200112011020 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 2200112011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3842400296448).

2200112011020 is an abundant number, since it is smaller than the sum of its proper divisors (5484688581876).

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

2200112011020 is a wasteful number, since it uses less digits than its factorization.

2200112011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273440 (or 273438 counting only the distinct ones).

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

Adding to 2200112011020 its reverse (201102110022), we get a palindrome (2401214121042).

It can be divided in two parts, 22001 and 12011020, that added together give a palindrome (12033021).

The spelling of 2200112011020 in words is "two trillion, two hundred billion, one hundred twelve million, eleven thousand, twenty".