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13414203223212 = 22311172499704681
BaseRepresentation
bin1100001100110011110011…
…0100010110110010101100
31202111101101212221101200110
43003030330310112302230
53224234242011120322
644310222213100020
72553100314041421
oct303147464266254
952441355841613
1013414203223212
114301a280149a0
121607919627610
13763c52a4aa3c
14345372681d48
15183e02e57c0c
hexc333cd16cac

13414203223212 has 144 divisors (see below), whose sum is σ = 36344678832000. Its totient is φ = 3818125363200.

The previous prime is 13414203223207. The next prime is 13414203223261. The reversal of 13414203223212 is 21232230241431.

It is a happy number.

13414203223212 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 2×134142032232122 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13414203223212.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18683512 + ... + 19388192.

It is an arithmetic number, because the mean of its divisors is an integer number (252393603000).

Almost surely, 213414203223212 is an apocalyptic number.

13414203223212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13414203223212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18172339416000).

13414203223212 is an abundant number, since it is smaller than the sum of its proper divisors (22930475608788).

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

13414203223212 is a wasteful number, since it uses less digits than its factorization.

13414203223212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705232 (or 705213 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13414203223212 its reverse (21232230241431), we get a palindrome (34646433464643).

The spelling of 13414203223212 in words is "thirteen trillion, four hundred fourteen billion, two hundred three million, two hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 289 374 499 561 578 748 867 998 1122 1156 1497 1734 1996 2244 2994 3179 3468 5489 5988 6358 8483 9537 10978 12716 16467 16966 19074 21956 25449 32934 33932 38148 50898 65868 93313 101796 144211 186626 279939 288422 373252 432633 559878 576844 704681 865266 1119756 1409362 1586321 1730532 2114043 2818724 3172642 4228086 4758963 6345284 7751491 8456172 9517926 11979577 15502982 19035852 23254473 23959154 31005964 35938731 46508946 47918308 71877462 93017892 131775347 143754924 203652809 263550694 351635819 395326041 407305618 527101388 610958427 703271638 790652082 814611236 1054907457 1221916854 1406543276 1581304164 2109814914 2240180899 2443833708 3867994009 4219629828 4480361798 5977808923 6720542697 7735988018 8960723596 11603982027 11955617846 13441085394 15471976036 17933426769 23207964054 23911235692 26882170788 35866853538 46415928108 65755898153 71733707076 101622751691 131511796306 197267694459 203245503382 263023592612 304868255073 394535388918 406491006764 609736510146 789070777836 1117850268601 1219473020292 2235700537202 3353550805803 4471401074404 6707101611606 13414203223212