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10111000323 = 337538320707
BaseRepresentation
bin10010110101010100…
…11001111100000011
3222002122122000221110
421122222121330003
5131201404002243
64351145454403
7505363041024
oct113252317403
928078560843
1010111000323
11431943a216
121b621a1403
13c519b2c38
146bcbb8c4b
153e29d6e33
hex25aa99f03

10111000323 has 32 divisors (see below), whose sum is σ = 14277586176. Its totient is φ = 6356907648.

The previous prime is 10111000321. The next prime is 10111000337. The reversal of 10111000323 is 32300011101.

10111000323 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 10111000323 - 21 = 10111000321 is a prime.

It is a super-2 number, since 2×101110003232 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10111000299 and 10111000308.

It is not an unprimeable number, because it can be changed into a prime (10111000321) 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, 477936 + ... + 498642.

It is an arithmetic number, because the mean of its divisors is an integer number (446174568).

Almost surely, 210111000323 is an apocalyptic number.

10111000323 is a deficient number, since it is larger than the sum of its proper divisors (4166585853).

10111000323 is a wasteful number, since it uses less digits than its factorization.

10111000323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20883.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10111000323 its reverse (32300011101), we get a palindrome (42411011424).

The spelling of 10111000323 in words is "ten billion, one hundred eleven million, three hundred twenty-three", and thus it is an aban number.

Divisors: 1 3 37 53 83 111 159 249 1961 3071 4399 5883 9213 13197 20707 62121 162763 488289 766159 1097471 1718681 2298477 3292413 5156043 40606427 63591197 91090093 121819281 190773591 273270279 3370333441 10111000323