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11270345226 = 237299979281
BaseRepresentation
bin10100111111100001…
…11101001000001010
31002002110010212011120
422133300331020022
5141040202021401
65102202340110
7546201232230
oct123760751012
932073125146
1011270345226
1148638a81a8
1222264ba636
1310a7c4163a
1478cb64950
1545e691836
hex29fc3d20a

11270345226 has 64 divisors (see below), whose sum is σ = 26678695680. Its totient is φ = 3105607680.

The previous prime is 11270345221. The next prime is 11270345227. The reversal of 11270345226 is 62254307211.

11270345226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11270345221) 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 31 ways as a sum of consecutive naturals, for example, 1209706 + ... + 1218986.

It is an arithmetic number, because the mean of its divisors is an integer number (416854620).

Almost surely, 211270345226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11270345226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13339347840).

11270345226 is an abundant number, since it is smaller than the sum of its proper divisors (15408350454).

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

11270345226 is a wasteful number, since it uses less digits than its factorization.

11270345226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10319.

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 11270345226 in words is "eleven billion, two hundred seventy million, three hundred forty-five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 997 1218 1994 2991 5982 6979 9281 13958 18562 20937 27843 28913 41874 55686 57826 64967 86739 129934 173478 194901 202391 269149 389802 404782 538298 607173 807447 1214346 1614894 1884043 3768086 5652129 9253157 11304258 18506314 27759471 55518942 64772099 129544198 194316297 268341553 388632594 536683106 805024659 1610049318 1878390871 3756781742 5635172613 11270345226