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1022114144051 = 71121392826641
BaseRepresentation
bin11101101111110101100…
…00000001111100110011
310121201020220002100011022
432313322300001330303
5113221242210102201
62101315221210055
7133562640606140
oct16677260017463
93551226070138
101022114144051
11364526873700
12146113b6092b
1375500974190
143768341b3c7
151b8c2de041b
hexedfac01f33

1022114144051 has 24 divisors (see below), whose sum is σ = 1382745659232. Its totient is φ = 735186988800.

The previous prime is 1022114144011. The next prime is 1022114144053. The reversal of 1022114144051 is 1504414112201.

It is a happy number.

It is not a de Polignac number, because 1022114144051 - 234 = 1004934274867 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1022114144051.

It is not an unprimeable number, because it can be changed into a prime (1022114144053) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 46402310 + ... + 46424331.

It is an arithmetic number, because the mean of its divisors is an integer number (57614402468).

Almost surely, 21022114144051 is an apocalyptic number.

1022114144051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1022114144051 is a deficient number, since it is larger than the sum of its proper divisors (360631515181).

1022114144051 is a wasteful number, since it uses less digits than its factorization.

1022114144051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92826683 (or 92826672 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

Adding to 1022114144051 its reverse (1504414112201), we get a palindrome (2526528256252).

The spelling of 1022114144051 in words is "one trillion, twenty-two billion, one hundred fourteen million, one hundred forty-four thousand, fifty-one".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1573 11011 92826641 649786487 1021093051 1206746333 7147651357 8447224331 11232023561 13274209663 78624164927 92919467641 146016306293 1022114144051