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210312213012 = 223211531091447
BaseRepresentation
bin1100001111011110010…
…1011011001000010100
3202002212000112101100200
43003313211123020110
511421204411304022
6240341024340500
721123506212656
oct3036745331024
9662760471320
10210312213012
11812138414a0
1234915174730
1316aa88c2375
14a2718b66d6
15570d954bac
hex30f795b214

210312213012 has 36 divisors (see below), whose sum is σ = 579951861216. Its totient is φ = 63730973520.

The previous prime is 210312212977. The next prime is 210312213037.

210312213012 is a `hidden beast` number, since 210 + 312 + 2 + 130 + 12 = 666.

210312213012 is nontrivially palindromic in base 10.

210312213012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2103122130122 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 265545328 + ... + 265546119.

Almost surely, 2210312213012 is an apocalyptic number.

210312213012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

210312213012 is an abundant number, since it is smaller than the sum of its proper divisors (369639648204).

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

210312213012 is a wasteful number, since it uses less digits than its factorization.

210312213012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531091468 (or 531091463 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 210312 and 213012, that added together give a palindrome (423324).

The spelling of 210312213012 in words is "two hundred ten billion, three hundred twelve million, two hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 531091447 1062182894 1593274341 2124365788 3186548682 4779823023 5842005917 6373097364 9559646046 11684011834 17526017751 19119292092 23368023668 35052035502 52578053253 70104071004 105156106506 210312213012