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13102332203322 = 2336154710936653
BaseRepresentation
bin1011111010101001111111…
…0110110101000100111010
31201101120102001121002001000
42332222133312311010322
53204132034021001242
643511043414505430
72521420002104445
oct276523766650472
951346361532030
1013102332203322
1141a1738a5175a
1215773a0665276
13740710706b0b
14334228ad865c
1517ac4d504a4c
hexbea9fdb513a

13102332203322 has 128 divisors (see below), whose sum is σ = 29679297189120. Its totient is φ = 4283426085120.

The previous prime is 13102332203297. The next prime is 13102332203339. The reversal of 13102332203322 is 22330223320131.

13102332203322 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 2 + 3 + 322 + 0 + 332 + 2 = 666.

It is a super-2 number, since 2×131023322033222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1969383748 + ... + 1969390400.

It is an arithmetic number, because the mean of its divisors is an integer number (231869509290).

Almost surely, 213102332203322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13102332203322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14839648594560).

13102332203322 is an abundant number, since it is smaller than the sum of its proper divisors (16576964985798).

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

13102332203322 is a wasteful number, since it uses less digits than its factorization.

13102332203322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8365 (or 8359 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13102332203322 its reverse (22330223320131), we get a palindrome (35432555523453).

The spelling of 13102332203322 in words is "thirteen trillion, one hundred two billion, three hundred thirty-two million, two hundred three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 366 547 549 1093 1094 1098 1641 1647 2186 3279 3282 3294 4923 6558 6653 9837 9846 13306 14769 19674 19959 29511 29538 33367 39918 59022 59877 66673 66734 100101 119754 133346 179631 200019 200202 300303 359262 400038 405833 597871 600057 600606 811666 900909 1195742 1200114 1217499 1793613 1800171 1801818 2434998 3587226 3600342 3639191 3652497 5380839 7271729 7278382 7304994 10761678 10917573 10957491 14543458 16142517 21815187 21835146 21914982 32285034 32752719 36470131 43630374 65445561 65505438 72940262 98258157 109410393 130891122 196336683 196516314 218820786 221990651 328231179 392673366 443575469 443981302 656462358 665971953 887150938 984693537 1330726407 1331943906 1969387074 1997915859 2661452814 3977635763 3992179221 3995831718 5993747577 7955271526 7984358442 11932907289 11976537663 11987495154 23865814578 23953075326 35798721867 71597443734 107396165601 214792331202 242635781543 485271563086 727907344629 1455814689258 2183722033887 4367444067774 6551166101661 13102332203322