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1022120011121 = 111912793823711
BaseRepresentation
bin11101101111110110001…
…10011010010101110001
310121201021022010102021012
432313323012122111301
5113221300210323441
62101315551040305
7133563041513246
oct16677306322561
93551238112235
101022120011121
1136452a110720
12146115b10095
1375501c49811
14376841075cd
151b8c369d9eb
hexedfb19a571

1022120011121 has 16 divisors (see below), whose sum is σ = 1174644326400. Its totient is φ = 879606248400.

The previous prime is 1022120011097. The next prime is 1022120011141. The reversal of 1022120011121 is 1211100212201.

It is not a de Polignac number, because 1022120011121 - 214 = 1022119994737 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1022120011096 and 1022120011105.

It is not an unprimeable number, because it can be changed into a prime (1022120011141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1644545 + ... + 2179166.

It is an arithmetic number, because the mean of its divisors is an integer number (73415270400).

Almost surely, 21022120011121 is an apocalyptic number.

1022120011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022120011121 is a deficient number, since it is larger than the sum of its proper divisors (152524315279).

1022120011121 is a wasteful number, since it uses less digits than its factorization.

1022120011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3825020.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1022120011121 its reverse (1211100212201), we get a palindrome (2233220223322).

The spelling of 1022120011121 in words is "one trillion, twenty-two billion, one hundred twenty million, eleven thousand, one hundred twenty-one".

Divisors: 1 11 19 209 1279 14069 24301 267311 3823711 42060821 72650509 799155599 4890526369 53795790059 92920001011 1022120011121