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1011011001220 = 225112417773141
BaseRepresentation
bin11101011011001001111…
…00111001101110000100
310120122121002120020120001
432231210330321232010
5113031022304014340
62052241350251044
7133020536501263
oct16554474715604
93518532506501
101011011001220
1135a849398100
12143b35656a84
137445157568c
1436d0c97c5da
151b47327a29a
hexeb64f39b84

1011011001220 has 36 divisors (see below), whose sum is σ = 2333680771212. Its totient is φ = 367640363200.

The previous prime is 1011011001211. The next prime is 1011011001227. The reversal of 1011011001220 is 221001101101.

It can be written as a sum of positive squares in 2 ways, for example, as 484190522244 + 526820478976 = 695838^2 + 725824^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1011011001197 and 1011011001206.

It is not an unprimeable number, because it can be changed into a prime (1011011001227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208884151 + ... + 208888990.

It is an arithmetic number, because the mean of its divisors is an integer number (64824465867).

Almost surely, 21011011001220 is an apocalyptic number.

1011011001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011011001220 is an abundant number, since it is smaller than the sum of its proper divisors (1322669769992).

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

1011011001220 is a wasteful number, since it uses less digits than its factorization.

1011011001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417773172 (or 417773159 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1011011001220 its reverse (221001101101), we get a palindrome (1232012102321).

The spelling of 1011011001220 in words is "one trillion, eleven billion, eleven million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 417773141 835546282 1671092564 2088865705 4177731410 4595504551 8355462820 9191009102 18382018204 22977522755 45955045510 50550550061 91910091020 101101100122 202202200244 252752750305 505505500610 1011011001220