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112220001201219 = 331113233130135227
BaseRepresentation
bin11001100001000001000001…
…010011101110110001000011
3112201100010102211110121120220
4121201001001103232301003
5104202103030301414334
61034401053514034123
732431425146420622
oct3141010123566103
9481303384417526
10112220001201219
113283626512173a
1210704ba3418943
134a803ba8602b2
141d9d696dcb6b9
15ce9176a6b449
hex6610414eec43

112220001201219 has 64 divisors (see below), whose sum is σ = 156613664083968. Its totient is φ = 71394365952000.

The previous prime is 112220001201197. The next prime is 112220001201223. The reversal of 112220001201219 is 912102100022211.

It is not a de Polignac number, because 112220001201219 - 28 = 112220001200963 is a prime.

It is a super-2 number, since 2×1122200012012192 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112220001201019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3185607084 + ... + 3185642310.

It is an arithmetic number, because the mean of its divisors is an integer number (2447088501312).

Almost surely, 2112220001201219 is an apocalyptic number.

112220001201219 is a deficient number, since it is larger than the sum of its proper divisors (44393662882749).

112220001201219 is a wasteful number, since it uses less digits than its factorization.

112220001201219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36908.

The product of its (nonzero) digits is 288, while the sum is 24.

The spelling of 112220001201219 in words is "one hundred twelve trillion, two hundred twenty billion, one million, two hundred one thousand, two hundred nineteen".

Divisors: 1 3 31 93 113 233 339 699 1301 3503 3903 7223 10509 21669 26329 35227 40331 78987 105681 120993 147013 303133 441039 816199 909399 1092037 2448597 3276111 3980651 4557403 8207891 9397123 11941953 13672209 24623673 28191369 34254029 45830327 102762087 123400181 137490981 254444621 370200543 763333863 927491683 1061874899 1420740137 2782475049 3185624697 4262220411 5178826951 10678466191 15536480853 28752242173 32035398573 86256726519 160543635481 331032451921 481630906443 993097355763 1206666679583 3620000038749 37406667067073 112220001201219