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13310333221122 = 2337372543374239
BaseRepresentation
bin1100000110110000110110…
…1011101111100100000010
31202010110022000012120121000
43001230031223233210002
53221034030301033442
644150403242312430
72542432315431120
oct301541553574402
952113260176530
1013310333221122
114271976115a63
1215ab76b7b8716
1375720b534442
1434031b66a910
151813740c5d4c
hexc1b0daef902

13310333221122 has 128 divisors (see below), whose sum is σ = 34731388108800. Its totient is φ = 3698704928448.

The previous prime is 13310333221099. The next prime is 13310333221151. The reversal of 13310333221122 is 22112233301331.

13310333221122 is a `hidden beast` number, since 1 + 3 + 310 + 3 + 3 + 3 + 221 + 122 = 666.

It is a super-2 number, since 2×133103332211222 (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, 35379279 + ... + 35753517.

It is an arithmetic number, because the mean of its divisors is an integer number (271338969600).

Almost surely, 213310333221122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13310333221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17365694054400).

13310333221122 is an abundant number, since it is smaller than the sum of its proper divisors (21421054887678).

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

13310333221122 is a wasteful number, since it uses less digits than its factorization.

13310333221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376837 (or 376831 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13310333221122 its reverse (22112233301331), we get a palindrome (35422566522453).

The spelling of 13310333221122 in words is "thirteen trillion, three hundred ten billion, three hundred thirty-three million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 189 222 259 333 378 518 666 777 999 1554 1998 2331 2543 4662 5086 6993 7629 13986 15258 17801 22887 35602 45774 53403 68661 94091 106806 137322 160209 188182 282273 320418 374239 480627 564546 658637 748478 846819 961254 1122717 1317274 1693638 1975911 2245434 2540457 2619673 3368151 3951822 5080914 5239346 5927733 6736302 7859019 10104453 11855466 13846843 15718038 17783199 20208906 23577057 27693686 35566398 41540529 47154114 70731171 83081058 96927901 124621587 141462342 193855802 249243174 290783703 373864761 581567406 747729522 872351109 951689777 1744702218 1903379554 2617053327 2855069331 5234106654 5710138662 6661828439 8565207993 13323656878 17130415986 19985485317 25695623979 35212521749 39970970634 51391247958 59956455951 70425043498 105637565247 119912911902 179869367853 211275130494 246487652243 316912695741 359738735706 492975304486 633825391482 739462956729 950738087223 1478925913458 1901476174446 2218388870187 4436777740374 6655166610561 13310333221122