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12430304212335 = 3573107163650873
BaseRepresentation
bin1011010011100010011111…
…0111011111010101101111
31122000022210021100222000220
42310320213313133111233
53112124230334243320
642234223010422423
72422026345324552
oct264704767372557
948008707328026
1012430304212335
113a62731741489
1214890ab891a13
136c22324371c9
1430d8b6778699
15168519ed4e40
hexb4e27ddf56f

12430304212335 has 64 divisors (see below), whose sum is σ = 20474225791488. Its totient is φ = 6437821814784.

The previous prime is 12430304212303. The next prime is 12430304212349. The reversal of 12430304212335 is 53321240303421.

It is not a de Polignac number, because 12430304212335 - 25 = 12430304212303 is a prime.

It is a super-2 number, since 2×124303042123352 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12430304212296 and 12430304212305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18772459 + ... + 19423331.

It is an arithmetic number, because the mean of its divisors is an integer number (319909777992).

Almost surely, 212430304212335 is an apocalyptic number.

12430304212335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12430304212335 is a deficient number, since it is larger than the sum of its proper divisors (8043921579153).

12430304212335 is a wasteful number, since it uses less digits than its factorization.

12430304212335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651224.

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 12430304212335 its reverse (53321240303421), we get a palindrome (65751544515756).

The spelling of 12430304212335 in words is "twelve trillion, four hundred thirty billion, three hundred four million, two hundred twelve thousand, three hundred thirty-five".

Divisors: 1 3 5 15 73 107 163 219 321 365 489 535 815 1095 1605 2445 7811 11899 17441 23433 35697 39055 52323 59495 87205 117165 178485 261615 650873 1273193 1952619 3254365 3819579 6365965 9763095 19097895 47513729 69643411 106092299 142541187 208930233 237568645 318276897 348217055 530461495 712705935 1044651165 1591384485 5083969003 7744737827 11351875993 15251907009 23234213481 25419845015 34055627979 38723689135 56759379965 76259535045 116171067405 170278139895 828686947489 2486060842467 4143434737445 12430304212335