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11322023022 = 234113673919
BaseRepresentation
bin10101000101101100…
…00101110001101110
31002020001101100210000
422202312011301232
5141141414214042
65111250125130
7550366415322
oct124266056156
932201340700
1011322023022
11488aa94522
12223b8807a6
1310b586660b
14795977982
15463e9d74c
hex2a2d85c6e

11322023022 has 80 divisors (see below), whose sum is σ = 25660150560. Its totient is φ = 3730987008.

The previous prime is 11322023021. The next prime is 11322023087. The reversal of 11322023022 is 22032022311.

11322023022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11322022986 and 11322023004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11322023021) 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 39 ways as a sum of consecutive naturals, for example, 12319479 + ... + 12320397.

It is an arithmetic number, because the mean of its divisors is an integer number (320751882).

Almost surely, 211322023022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11322023022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12830075280).

11322023022 is an abundant number, since it is smaller than the sum of its proper divisors (14338127538).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11322023022 is a wasteful number, since it uses less digits than its factorization.

11322023022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11322023022 its reverse (22032022311), we get a palindrome (33354045333).

The spelling of 11322023022 in words is "eleven billion, three hundred twenty-two million, twenty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 113 162 226 339 673 678 919 1017 1346 1838 2019 2034 2757 3051 4038 5514 6057 6102 8271 9153 12114 16542 18171 18306 24813 36342 49626 54513 74439 76049 103847 109026 148878 152098 207694 228147 311541 456294 618487 623082 684441 934623 1236974 1368882 1855461 1869246 2053323 2803869 3710922 4106646 5566383 5607738 6159969 8411607 11132766 12319938 16699149 16823214 33398298 50097447 69889031 100194894 139778062 209667093 419334186 629001279 1258002558 1887003837 3774007674 5661011511 11322023022