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11434412022 = 2311673377673
BaseRepresentation
bin10101010011000101…
…10100011111110110
31002111212212022111120
422221202310133312
5141404202141042
65130343044410
7553232620125
oct125142643766
932455768446
1011434412022
114938477aa0
122271440706
131102c27197
147a6871abc
1546dc9ddec
hex2a98b47f6

11434412022 has 64 divisors (see below), whose sum is σ = 25398607104. Its totient is φ = 3402685440.

The previous prime is 11434411999. The next prime is 11434412029. The reversal of 11434412022 is 22021443411.

It is a junction number, because it is equal to n+sod(n) for n = 11434411983 and 11434412001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11434412029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1486378 + ... + 1494050.

It is an arithmetic number, because the mean of its divisors is an integer number (396853236).

Almost surely, 211434412022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11434412022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12699303552).

11434412022 is an abundant number, since it is smaller than the sum of its proper divisors (13964195082).

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

11434412022 is a wasteful number, since it uses less digits than its factorization.

11434412022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8093.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11434412022 its reverse (22021443411), we get a palindrome (33455855433).

The spelling of 11434412022 in words is "eleven billion, four hundred thirty-four million, four hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 67 134 201 337 402 674 737 1011 1474 2022 2211 3707 4422 7414 7673 11121 15346 22242 22579 23019 45158 46038 67737 84403 135474 168806 248369 253209 496738 506418 514091 745107 1028182 1490214 1542273 2585801 3084546 5171602 5655001 7757403 11310002 15514806 16965003 28443811 33930006 56887622 85331433 170662866 173248667 346497334 519746001 1039492002 1905735337 3811470674 5717206011 11434412022