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1022131230985 = 53713740328713
BaseRepresentation
bin11101101111110111100…
…01001101100100001001
310121201022002020110000201
432313323301031210021
5113221311043342420
62101321031332201
7133563236053234
oct16677361154411
93551262213021
101022131230985
11364535484337
12146119821061
13755043776a7
14376857c841b
151b8c466810a
hexedfbc4d909

1022131230985 has 16 divisors (see below), whose sum is σ = 1268902657296. Its totient is φ = 789797495808.

The previous prime is 1022131230977. The next prime is 1022131231031. The reversal of 1022131230985 is 5890321312201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 28973486656 + 993157744329 = 170216^2 + 996573^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022131230985 - 23 = 1022131230977 is a prime.

It is a super-2 number, since 2×10221312309852 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian 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 15 ways as a sum of consecutive naturals, for example, 20139012 + ... + 20189701.

It is an arithmetic number, because the mean of its divisors is an integer number (79306416081).

Almost surely, 21022131230985 is an apocalyptic number.

It is an amenable number.

1022131230985 is a deficient number, since it is larger than the sum of its proper divisors (246771426311).

1022131230985 is a wasteful number, since it uses less digits than its factorization.

1022131230985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40328892.

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 1022131230985 in words is "one trillion, twenty-two billion, one hundred thirty-one million, two hundred thirty thousand, nine hundred eighty-five".

Divisors: 1 5 37 137 185 685 5069 25345 40328713 201643565 1492162381 5525033681 7460811905 27625168405 204426246197 1022131230985