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13430213214 = 2311172704111
BaseRepresentation
bin11001000001000000…
…01100101001011110
31021122222022112001020
430200200030221132
5210001113310324
610100400025010
7653545633365
oct144040145136
937588275036
1013430213214
115772006a70
122729902166
131360561332
149159567dc
155390d2679
hex32080ca5e

13430213214 has 48 divisors (see below), whose sum is σ = 31127383296. Its totient is φ = 3830358400.

The previous prime is 13430213207. The next prime is 13430213233. The reversal of 13430213214 is 41231203431.

It is a happy number.

It is a super-3 number, since 3×134302132143 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332982 + ... + 371129.

It is an arithmetic number, because the mean of its divisors is an integer number (648487152).

Almost surely, 213430213214 is an apocalyptic number.

13430213214 is an abundant number, since it is smaller than the sum of its proper divisors (17697170082).

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

13430213214 is a wasteful number, since it uses less digits than its factorization.

13430213214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704161 (or 704144 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13430213214 its reverse (41231203431), we get a palindrome (54661416645).

The spelling of 13430213214 in words is "thirteen billion, four hundred thirty million, two hundred thirteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 289 374 561 578 867 1122 1734 3179 6358 9537 19074 704111 1408222 2112333 4224666 7745221 11969887 15490442 23235663 23939774 35909661 46471326 71819322 131668757 203488079 263337514 395006271 406976158 610464237 790012542 1220928474 2238368869 4476737738 6715106607 13430213214