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10121324323 = 1117318392081
BaseRepresentation
bin10010110110100011…
…10010011100100011
3222010101001112210211
421123101302130203
5131212024334243
64352155034551
7505546560115
oct113321623443
928111045724
1010121324323
114324250850
121b6573ba57
13c53b89106
146c03053b5
153e3875d9d
hex25b472723

10121324323 has 32 divisors (see below), whose sum is σ = 12088258560. Its totient is φ = 8366592000.

The previous prime is 10121324321. The next prime is 10121324327. The reversal of 10121324323 is 32342312101.

10121324323 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10121324323 - 21 = 10121324321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10121324294 and 10121324303.

It is not an unprimeable number, because it can be changed into a prime (10121324321) 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, 4862643 + ... + 4864723.

It is an arithmetic number, because the mean of its divisors is an integer number (377758080).

Almost surely, 210121324323 is an apocalyptic number.

10121324323 is a deficient number, since it is larger than the sum of its proper divisors (1966934237).

10121324323 is a wasteful number, since it uses less digits than its factorization.

10121324323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10121324323 its reverse (32342312101), we get a palindrome (42463636424).

The spelling of 10121324323 in words is "ten billion, one hundred twenty-one million, three hundred twenty-four thousand, three hundred twenty-three".

Divisors: 1 11 17 31 187 341 527 839 2081 5797 9229 14263 22891 26009 35377 64511 156893 286099 389147 442153 709621 1096687 1745959 4863683 12063557 19205549 29681303 54124729 326494333 595372019 920120393 10121324323