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1011111200220 = 2235114771459091
BaseRepresentation
bin11101011011010101110…
…11001000010111011100
310120122212002002212202010
432231222323020113130
5113031223431401340
62052255330031220
7133023164252532
oct16555273102734
93518762085663
101011111200220
1135a89aa050a0
12143b63118510
1374469258924
1436d1bdc2152
151b47be6db80
hexeb6aec85dc

1011111200220 has 192 divisors, whose sum is σ = 3198629855232. Its totient is φ = 236523168000.

The previous prime is 1011111200189. The next prime is 1011111200243. The reversal of 1011111200220 is 220021111101.

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 = 1011111200196 and 1011111200205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1972875 + ... + 2431965.

It is an arithmetic number, because the mean of its divisors is an integer number (16659530496).

Almost surely, 21011111200220 is an apocalyptic number.

1011111200220 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 1011111200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599314927616).

1011111200220 is an abundant number, since it is smaller than the sum of its proper divisors (2187518655012).

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

1011111200220 is a wasteful number, since it uses less digits than its factorization.

1011111200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459232 (or 459230 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1011111200220 its reverse (220021111101), we get a palindrome (1231132311321).

The spelling of 1011111200220 in words is "one trillion, eleven billion, one hundred eleven million, two hundred thousand, two hundred twenty".