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11322123021 = 32111913131913
BaseRepresentation
bin10101000101101100…
…11110001100001101
31002020001120102221200
422202312132030031
5141141430414041
65111252220113
7550400313006
oct124266361415
932201512850
1011322123021
114890052670
12223b90a639
1310b589cca1
147959a21ad
15463ebd1b6
hex2a2d9e30d

11322123021 has 48 divisors (see below), whose sum is σ = 18001032192. Its totient is φ = 6800601600.

The previous prime is 11322123019. The next prime is 11322123049. The reversal of 11322123021 is 12032122311.

11322123021 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 11322123021 - 21 = 11322123019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11322122985 and 11322123003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11322123011) 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 47 ways as a sum of consecutive naturals, for example, 5917561 + ... + 5919473.

It is an arithmetic number, because the mean of its divisors is an integer number (375021504).

Almost surely, 211322123021 is an apocalyptic number.

11322123021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11322123021 is a deficient number, since it is larger than the sum of its proper divisors (6678909171).

11322123021 is a wasteful number, since it uses less digits than its factorization.

11322123021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11322123021 its reverse (12032122311), we get a palindrome (23354245332).

The spelling of 11322123021 in words is "eleven billion, three hundred twenty-two million, one hundred twenty-three thousand, twenty-one".

Divisors: 1 3 9 11 33 99 191 313 573 939 1719 1913 2101 2817 3443 5739 6303 10329 17217 18909 21043 30987 59783 63129 179349 189387 365383 538047 598769 657613 1096149 1796307 1972839 3288447 4019213 5388921 5918517 6586459 12057639 19759377 36172917 59278131 114364879 343094637 1029283911 1258013669 3774041007 11322123021