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11232301122 = 2327377973023
BaseRepresentation
bin10100111010111111…
…10101000001000010
31001222210120000110200
422131133311001002
5141000432113442
65054323110030
7545226661410
oct123537650102
931883500420
1011232301122
114844383099
122215812316
1310a00b1133
14787aa02b0
1545b17934c
hex29d7f5042

11232301122 has 96 divisors (see below), whose sum is σ = 28610330112. Its totient is φ = 3117543552.

The previous prime is 11232301121. The next prime is 11232301163. The reversal of 11232301122 is 22110323211.

11232301122 is a `hidden beast` number, since 11 + 232 + 301 + 122 = 666.

11232301122 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 = 11232301095 and 11232301104.

It is not an unprimeable number, because it can be changed into a prime (11232301121) 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, 3714103 + ... + 3717125.

It is an arithmetic number, because the mean of its divisors is an integer number (298024272).

Almost surely, 211232301122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11232301122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14305165056).

11232301122 is an abundant number, since it is smaller than the sum of its proper divisors (17378028990).

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

11232301122 is a wasteful number, since it uses less digits than its factorization.

11232301122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872 (or 3869 counting only the distinct ones).

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

Adding to 11232301122 its reverse (22110323211), we get a palindrome (33342624333).

The spelling of 11232301122 in words is "eleven billion, two hundred thirty-two million, three hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 797 1554 1594 2331 2391 3023 4662 4782 5579 6046 7173 9069 11158 14346 16737 18138 21161 27207 29489 33474 42322 50211 54414 58978 63483 88467 100422 111851 126966 176934 190449 206423 223702 265401 335553 380898 412846 530802 619269 671106 782957 1006659 1238538 1565914 1857807 2013318 2348871 2409331 3715614 4697742 4818662 7046613 7227993 14093226 14455986 16865317 21683979 33730634 43367958 50595951 89145247 101191902 151787853 178290494 267435741 303575706 534871482 624016729 802307223 1248033458 1604614446 1872050187 3744100374 5616150561 11232301122