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12211100002002 = 23114335471213057
BaseRepresentation
bin1011000110110001111001…
…0001110010011011010010
31121020100222112222022111010
42301230132101302123102
53100031313100031002
641545411335431350
72400136304303256
oct261543621623322
947210875868433
1012211100002002
113988775676880
121452714825556
136a766a57aa85
1430303dd62266
1516298aad946c
hexb1b1e4726d2

12211100002002 has 64 divisors (see below), whose sum is σ = 27269699111424. Its totient is φ = 3613257123840.

The previous prime is 12211100001949. The next prime is 12211100002007. The reversal of 12211100002002 is 20020000111221.

12211100002002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122111000020022 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211100002007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9459858 + ... + 10672914.

It is an arithmetic number, because the mean of its divisors is an integer number (426089048616).

Almost surely, 212211100002002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211100002002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13634849555712).

12211100002002 is an abundant number, since it is smaller than the sum of its proper divisors (15058599109422).

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

12211100002002 is a wasteful number, since it uses less digits than its factorization.

12211100002002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216663.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12211100002002 its reverse (20020000111221), we get a palindrome (32231100113223).

The spelling of 12211100002002 in words is "twelve trillion, two hundred eleven billion, one hundred million, two thousand, two".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 946 1419 2838 3547 7094 10641 21282 39017 78034 117051 152521 234102 305042 457563 915126 1213057 1677731 2426114 3355462 3639171 5033193 7278342 10066386 13343627 26687254 40030881 52161451 80061762 104322902 156484353 312968706 573775961 1147551922 1721327883 3442655766 4302713179 8605426358 12908139537 25816279074 47329844969 94659689938 141989534907 185016666697 283979069814 370033333394 555050000091 1110100000182 2035183333667 4070366667334 6105550001001 12211100002002