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13142323212 = 223171012113023
BaseRepresentation
bin11000011110101011…
…11111000000001100
31020220220121012012120
430033111333000030
5203403413320322
610012033332540
7643451622054
oct141725770014
936826535176
1013142323212
115634553a47
122669407150
131315a13615
148c9616564
1551dbb6a5c
hex30f57f00c

13142323212 has 96 divisors (see below), whose sum is σ = 32957051904. Its totient is φ = 4061568000.

The previous prime is 13142323157. The next prime is 13142323247. The reversal of 13142323212 is 21232324131.

13142323212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 4345933 + ... + 4348955.

It is an arithmetic number, because the mean of its divisors is an integer number (343302624).

Almost surely, 213142323212 is an apocalyptic number.

13142323212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13142323212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16478525952).

13142323212 is an abundant number, since it is smaller than the sum of its proper divisors (19814728692).

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

13142323212 is a wasteful number, since it uses less digits than its factorization.

13142323212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359 (or 3357 counting only the distinct ones).

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

Adding to 13142323212 its reverse (21232324131), we get a palindrome (34374647343).

The spelling of 13142323212 in words is "thirteen billion, one hundred forty-two million, three hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 101 102 202 204 211 303 404 422 606 633 844 1212 1266 1717 2532 3023 3434 3587 5151 6046 6868 7174 9069 10302 10761 12092 14348 18138 20604 21311 21522 36276 42622 43044 51391 63933 85244 102782 127866 154173 205564 255732 305323 308346 362287 610646 616692 637853 724574 915969 1086861 1221292 1275706 1449148 1831938 1913559 2173722 2551412 3663876 3827118 4347444 5190491 7654236 10380982 10843501 15571473 20761964 21687002 31142946 32530503 43374004 62285892 64423153 65061006 128846306 130122012 193269459 257692612 386538918 773077836 1095193601 2190387202 3285580803 4380774404 6571161606 13142323212