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10343200014 = 2337172315881
BaseRepresentation
bin10011010001000000…
…01011010100001110
3222200211120000001000
421220200023110032
5132140324400024
64430202401130
7514212515040
oct115040132416
928624500030
1010343200014
114428515294
122007b001a6
13c8ab324c4
1470197da90
154080a1cc9
hex26880b50e

10343200014 has 64 divisors (see below), whose sum is σ = 26285345280. Its totient is φ = 2953298880.

The previous prime is 10343200013. The next prime is 10343200019. The reversal of 10343200014 is 41000234301.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10343200014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10343200013) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 643354 + ... + 659234.

It is an arithmetic number, because the mean of its divisors is an integer number (410708520).

Almost surely, 210343200014 is an apocalyptic number.

10343200014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10343200014 is an abundant number, since it is smaller than the sum of its proper divisors (15942145266).

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

10343200014 is a wasteful number, since it uses less digits than its factorization.

10343200014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17622 (or 17616 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10343200014 its reverse (41000234301), we get a palindrome (51343434315).

The spelling of 10343200014 in words is "ten billion, three hundred forty-three million, two hundred thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1723 3446 5169 10338 12061 15507 15881 24122 31014 31762 36183 46521 47643 72366 93042 95286 108549 111167 142929 217098 222334 285858 325647 333501 428787 651294 667002 857574 1000503 2001006 3001509 6003018 27362963 54725926 82088889 164177778 191540741 246266667 383081482 492533334 574622223 738800001 1149244446 1477600002 1723866669 3447733338 5171600007 10343200014