Search a number
-
+
11012322114 = 23611366841
BaseRepresentation
bin10100100000110001…
…01011001101000010
31001102110121221000000
422100120223031002
5140023123301424
65020424140430
7536616123243
oct122030531502
931373557000
1011012322114
114741194662
122174007716
131066650141
1476679acca
15446bc53c9
hex29062b342

11012322114 has 56 divisors (see below), whose sum is σ = 24985940652. Its totient is φ = 3638234880.

The previous prime is 11012322109. The next prime is 11012322127. The reversal of 11012322114 is 41122321011.

11012322114 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9213120225 + 1799201889 = 95985^2 + 42417^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 131334 + ... + 198174.

Almost surely, 211012322114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11012322114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12492970326).

11012322114 is an abundant number, since it is smaller than the sum of its proper divisors (13973618538).

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

11012322114 is an equidigital number, since it uses as much as digits as its factorization.

11012322114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66974 (or 66959 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11012322114 its reverse (41122321011), we get a palindrome (52134643125).

The spelling of 11012322114 in words is "eleven billion, twelve million, three hundred twenty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 113 162 226 243 339 486 678 729 1017 1458 2034 3051 6102 9153 18306 27459 54918 66841 82377 133682 164754 200523 401046 601569 1203138 1804707 3609414 5414121 7553033 10828242 15106066 16242363 22659099 32484726 45318198 48727089 67977297 97454178 135954594 203931891 407863782 611795673 1223591346 1835387019 3670774038 5506161057 11012322114