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211301300012 = 2211172312282103
BaseRepresentation
bin1100010011001010001…
…0011111011100101100
3202012101221200012122112
43010302202133130230
511430221113100022
6241023120103152
721160146262355
oct3046242373454
9665357605575
10211301300012
1181681091170
1234b50464ab8
1316c057ab24a
14a326dc2d2c
15576a6cc8e2
hex313289f72c

211301300012 has 48 divisors (see below), whose sum is σ = 445692989952. Its totient is φ = 86465998080.

The previous prime is 211301300011. The next prime is 211301300059. The reversal of 211301300012 is 210003103112.

211301300012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2113013000122 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211301300012.

It is not an unprimeable number, because it can be changed into a prime (211301300011) 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 15 ways as a sum of consecutive naturals, for example, 6123848 + ... + 6158255.

It is an arithmetic number, because the mean of its divisors is an integer number (9285270624).

Almost surely, 2211301300012 is an apocalyptic number.

211301300012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211301300012 is an abundant number, since it is smaller than the sum of its proper divisors (234391689940).

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

211301300012 is a wasteful number, since it uses less digits than its factorization.

211301300012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12282158 (or 12282156 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 211301300012 its reverse (210003103112), we get a palindrome (421304403124).

The spelling of 211301300012 in words is "two hundred eleven billion, three hundred one million, three hundred thousand, twelve".

Divisors: 1 2 4 11 17 22 23 34 44 46 68 92 187 253 374 391 506 748 782 1012 1564 4301 8602 17204 12282103 24564206 49128412 135103133 208795751 270206266 282488369 417591502 540412532 564976738 835183004 1129953476 2296753261 3107372059 4593506522 4802302273 6214744118 9187013044 9604604546 12429488236 19209209092 52825325003 105650650006 211301300012