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12021113311021 = 172193353610541
BaseRepresentation
bin1010111011101110001000…
…1100000100111100101101
31120120012121001111102122201
42232323202030010330231
53033423220001423041
641322231225341501
72350332252132103
oct256734214047455
946505531442581
1012021113311021
11391514208a981
121421932637891
13692780928b29
142d7b79aa9c73
1515ca6b7a1631
hexaeee2304f2d

12021113311021 has 24 divisors (see below), whose sum is σ = 12872381794344. Its totient is φ = 11223464017920.

The previous prime is 12021113311001. The next prime is 12021113311043. The reversal of 12021113311021 is 12011331112021.

It can be written as a sum of positive squares in 12 ways, for example, as 277565654025 + 11743547656996 = 526845^2 + 3426886^2 .

It is a de Polignac number, because none of the positive numbers 2k-12021113311021 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12021113311021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021113311001) 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, 19384011 + ... + 19994551.

It is an arithmetic number, because the mean of its divisors is an integer number (536349241431).

Almost surely, 212021113311021 is an apocalyptic number.

It is an amenable number.

12021113311021 is a deficient number, since it is larger than the sum of its proper divisors (851268483323).

12021113311021 is a wasteful number, since it uses less digits than its factorization.

12021113311021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611121 (or 611104 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 12021113311021 its reverse (12011331112021), we get a palindrome (24032444423042).

The spelling of 12021113311021 in words is "twelve trillion, twenty-one billion, one hundred thirteen million, three hundred eleven thousand, twenty-one".

Divisors: 1 17 193 289 353 3281 6001 55777 68129 102017 610541 1158193 10379197 19689281 117834413 176446349 215520973 2003185021 3663856541 34054145357 41595547789 62285561197 707124312413 12021113311021