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13244321002122 = 233764176971081
BaseRepresentation
bin1100000010111010111100…
…0011000111001010001010
31201220010220111120101212000
43000232233003013022022
53213443332134031442
644100205043331430
72534604423014130
oct300565703071212
951803814511760
1013244321002122
114246980a21871
12159aa08380b76
13750c1b320922
1433b058507750
1517e7adb24d4c
hexc0baf0c728a

13244321002122 has 128 divisors (see below), whose sum is σ = 33733128844800. Its totient is φ = 3773222092800.

The previous prime is 13244321002117. The next prime is 13244321002229. The reversal of 13244321002122 is 22120012344231.

13244321002122 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 432 + 10 + 0 + 212 + 2 = 666.

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, 186291622 + ... + 186362702.

It is an arithmetic number, because the mean of its divisors is an integer number (263540069100).

Almost surely, 213244321002122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13244321002122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16866564422400).

13244321002122 is an abundant number, since it is smaller than the sum of its proper divisors (20488807842678).

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

13244321002122 is a wasteful number, since it uses less digits than its factorization.

13244321002122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72509 (or 72503 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13244321002122 its reverse (22120012344231), we get a palindrome (35364333346353).

The spelling of 13244321002122 in words is "thirteen trillion, two hundred forty-four billion, three hundred twenty-one million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 641 769 1282 1538 1923 2307 3846 4487 4614 5383 5769 6921 8974 10766 11538 13461 13842 16149 17307 20763 26922 32298 34614 40383 41526 48447 71081 80766 96894 121149 142162 145341 213243 242298 290682 426486 492929 497567 639729 985858 995134 1279458 1478787 1492701 1919187 2957574 2985402 3450503 3838374 4436361 4478103 6901006 8872722 8956206 10351509 13309083 13434309 20703018 26618166 26868618 31054527 45562921 54661289 62109054 91125842 93163581 109322578 136688763 163983867 186327162 273377526 318940447 327967734 382629023 410066289 491951601 637880894 765258046 820132578 956821341 983903202 1147887069 1230198867 1475854803 1913642682 2295774138 2460397734 2870464023 2951709606 3443661207 5740928046 6887322414 8611392069 10330983621 17222784138 20661967242 35037886249 70075772498 105113658747 210227317494 245265203743 315340976241 490530407486 630681952482 735795611229 946022928723 1471591222458 1892045857446 2207386833687 4414773667374 6622160501061 13244321002122