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1212014034 = 2327117331193
BaseRepresentation
bin100100000111101…
…1101110111010010
310010110121200200200
41020033131313102
54440233422114
6320133400030
742014643420
oct11017356722
93113550620
101212014034
115721720a0
12299a99016
1316413c98a
14b6d7a110
1571610409
hex483dddd2

1212014034 has 96 divisors (see below), whose sum is σ = 3281226624. Its totient is φ = 314115840.

The previous prime is 1212013969. The next prime is 1212014053. The reversal of 1212014034 is 4304102121.

It is a super-2 number, since 2×12120140342 = 2937956037225906312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1212013998 and 1212014016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1015342 + ... + 1016534.

It is an arithmetic number, because the mean of its divisors is an integer number (34179444).

Almost surely, 21212014034 is an apocalyptic number.

1212014034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212014034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640613312).

1212014034 is an abundant number, since it is smaller than the sum of its proper divisors (2069212590).

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

1212014034 is a wasteful number, since it uses less digits than its factorization.

1212014034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1212014034 is about 34813.9919285336. The cubic root of 1212014034 is about 1066.1931374501.

Adding to 1212014034 its reverse (4304102121), we get a palindrome (5516116155).

The spelling of 1212014034 in words is "one billion, two hundred twelve million, fourteen thousand, thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 733 1193 1386 1466 2199 2386 3579 4398 5131 6597 7158 8063 8351 10262 10737 13123 13194 15393 16126 16702 21474 24189 25053 26246 30786 39369 46179 48378 50106 56441 72567 75159 78738 91861 92358 112882 118107 145134 150318 169323 183722 236214 275583 338646 507969 551166 826749 874469 1015938 1653498 1748938 2623407 5246814 6121283 7870221 9619159 12242566 15740442 18363849 19238318 28857477 36727698 55091547 57714954 67334113 86572431 110183094 134668226 173144862 202002339 404004678 606007017 1212014034