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10345344243 = 3134313944381
BaseRepresentation
bin10011010001010000…
…10110110011110011
3222200222120221100220
421220220112303303
5132141402003433
64430320344123
7514236655323
oct115050266363
928628527326
1010345344243
11442974a283
122008775043
13c8b403490
14701d7b283
154083772b3
hex268a16cf3

10345344243 has 32 divisors (see below), whose sum is σ = 15310014720. Its totient is φ = 6173435520.

The previous prime is 10345344239. The next prime is 10345344293. The reversal of 10345344243 is 34244354301.

10345344243 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10345344243 - 22 = 10345344239 is a prime.

It is a super-2 number, since 2×103453442432 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10345344293) by changing a digit.

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, 210913 + ... + 255293.

It is an arithmetic number, because the mean of its divisors is an integer number (478437960).

Almost surely, 210345344243 is an apocalyptic number.

10345344243 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10345344243 is a deficient number, since it is larger than the sum of its proper divisors (4964670477).

10345344243 is a wasteful number, since it uses less digits than its factorization.

10345344243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44579.

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 10345344243 its reverse (34244354301), we get a palindrome (44589698544).

It can be divided in two parts, 103453 and 44243, that added together give a triangular number (147696 = T543).

The spelling of 10345344243 in words is "ten billion, three hundred forty-five million, three hundred forty-four thousand, two hundred forty-three".

Divisors: 1 3 13 39 43 129 139 417 559 1677 1807 5421 5977 17931 44381 77701 133143 233103 576953 1730859 1908383 5725149 6168959 18506877 24808979 74426937 80196467 240589401 265265237 795795711 3448448081 10345344243