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13430312022012 = 22317444114824333
BaseRepresentation
bin1100001101101111110011…
…1110100010111111111100
31202112220222112111011101020
43003123330332202333330
53230020234334201022
644321444500344140
72554210436421414
oct303337476427774
952486875434336
1013430312022012
114308844010956
12160aa743a5050
1376561c208652
1434605dc55644
1518454729035c
hexc36fcfa2ffc

13430312022012 has 48 divisors (see below), whose sum is σ = 33188244580512. Its totient is φ = 4212482181120.

The previous prime is 13430312021957. The next prime is 13430312022041. The reversal of 13430312022012 is 21022021303431.

It is a super-3 number, since 3×134303120220123 (a number of 40 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 (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6506203 + ... + 8318130.

It is an arithmetic number, because the mean of its divisors is an integer number (691421762094).

Almost surely, 213430312022012 is an apocalyptic number.

13430312022012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13430312022012 is an abundant number, since it is smaller than the sum of its proper divisors (19757932558500).

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

13430312022012 is a wasteful number, since it uses less digits than its factorization.

13430312022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14828798 (or 14828796 counting only the distinct ones).

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

Adding to 13430312022012 its reverse (21022021303431), we get a palindrome (34452333325443).

The spelling of 13430312022012 in words is "thirteen trillion, four hundred thirty billion, three hundred twelve million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 4441 8882 13323 17764 26646 53292 75497 150994 226491 301988 452982 905964 14824333 29648666 44472999 59297332 88945998 177891996 252013661 504027322 756040983 1008054644 1512081966 3024163932 65834862853 131669725706 197504588559 263339451412 395009177118 790018354236 1119192668501 2238385337002 3357578005503 4476770674004 6715156011006 13430312022012