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13120011212 = 2271160770177
BaseRepresentation
bin11000011100000001…
…10111101111001100
31020212100121121220012
430032000313233030
5203332210324322
610005515212352
7643061153360
oct141600675714
936770547805
1013120011212
1156229a4680
122661a470b8
131311200a59
148c66892a0
1551bc5aae2
hex30e037bcc

13120011212 has 48 divisors (see below), whose sum is σ = 28673046528. Its totient is φ = 5103198720.

The previous prime is 13120011209. The next prime is 13120011257. The reversal of 13120011212 is 21211002131.

13120011212 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 (14).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 151868 + ... + 222044.

It is an arithmetic number, because the mean of its divisors is an integer number (597355136).

Almost surely, 213120011212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13120011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14336523264).

13120011212 is an abundant number, since it is smaller than the sum of its proper divisors (15553035316).

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

13120011212 is a wasteful number, since it uses less digits than its factorization.

13120011212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70806 (or 70804 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 13120011212 its reverse (21211002131), we get a palindrome (34331013343).

The spelling of 13120011212 in words is "thirteen billion, one hundred twenty million, eleven thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 607 1214 2428 4249 6677 8498 13354 16996 26708 46739 70177 93478 140354 186956 280708 491239 771947 982478 1543894 1964956 3087788 5403629 10807258 21614516 42597439 85194878 170389756 298182073 468571829 596364146 937143658 1192728292 1874287316 3280002803 6560005606 13120011212