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10223312011 = 111019201901
BaseRepresentation
bin10011000010101101…
…10101110010001011
3222101110222001121121
421201112311302023
5131414131441021
64410241020111
7511225501243
oct114126656213
928343861547
1010223312011
11437687a6a0
121b93924637
13c6c047563
146cda92b23
153ec7be741
hex2615b5c8b

10223312011 has 8 divisors (see below), whose sum is σ = 11263128048. Its totient is φ = 9201900000.

The previous prime is 10223311991. The next prime is 10223312017. The reversal of 10223312011 is 11021332201.

10223312011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10223312011 - 217 = 10223180939 is a prime.

It is a super-2 number, since 2×102233120112 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10223312017) 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 7 ways as a sum of consecutive naturals, for example, 4599840 + ... + 4602061.

It is an arithmetic number, because the mean of its divisors is an integer number (1407891006).

Almost surely, 210223312011 is an apocalyptic number.

10223312011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10223312011 is a deficient number, since it is larger than the sum of its proper divisors (1039816037).

10223312011 is a wasteful number, since it uses less digits than its factorization.

10223312011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9202013.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10223312011 its reverse (11021332201), we get a palindrome (21244644212).

It can be divided in two parts, 102233 and 12011, that added together give a square (114244 = 3382).

The spelling of 10223312011 in words is "ten billion, two hundred twenty-three million, three hundred twelve thousand, eleven".

Divisors: 1 11 101 1111 9201901 101220911 929392001 10223312011