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13323121222212 = 22341427197914561
BaseRepresentation
bin1100000111100000011111…
…1010000110001001000100
31202011200022020002100020000
43001320013322012021010
53221241223013102322
644200320221441300
72543364235565124
oct301700772061104
952150266070200
1013323121222212
1142773386624aa
1215b213a410230
13758498a0a4a9
14340bb1bacc84
15181871aed3ac
hexc1e07e86244

13323121222212 has 120 divisors (see below), whose sum is σ = 34873684544160. Its totient is φ = 4435381117440.

The previous prime is 13323121222181. The next prime is 13323121222217. The reversal of 13323121222212 is 21222212132331.

13323121222212 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 312 + 122 + 221 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13323121222217) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 914979412 + ... + 914993972.

It is an arithmetic number, because the mean of its divisors is an integer number (290614037868).

Almost surely, 213323121222212 is an apocalyptic number.

13323121222212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13323121222212 is an abundant number, since it is smaller than the sum of its proper divisors (21550563321948).

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

13323121222212 is a wasteful number, since it uses less digits than its factorization.

13323121222212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17983 (or 17972 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 13323121222212 its reverse (21222212132331), we get a palindrome (34545333354543).

The spelling of 13323121222212 in words is "thirteen trillion, three hundred twenty-three billion, one hundred twenty-one million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1427 1979 2854 3958 4281 5708 5937 7916 8562 11874 12843 14561 17124 17811 23748 25686 29122 35622 38529 43683 51372 53433 58244 71244 77058 87366 106866 115587 131049 154116 160299 174732 213732 231174 262098 320598 393147 462348 524196 641196 786294 1179441 1572588 2358882 2824033 4717764 5648066 8472099 11296132 16944198 20778547 25416297 28816219 33888396 41557094 50832594 57632438 62335641 76248891 83114188 86448657 101665188 115264876 124671282 152497782 172897314 187006923 228746673 249342564 259345971 304995564 345794628 374013846 457493346 518691942 561020769 748027692 778037913 914986692 1037383884 1122041538 1556075826 1683062307 2244083076 2334113739 3112151652 3366124614 4668227478 6732249228 9336454956 41120744513 82241489026 123362233539 164482978052 246724467078 370086700617 493448934156 740173401234 1110260101851 1480346802468 2220520203702 3330780305553 4441040407404 6661560611106 13323121222212