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212352253212 = 223111608729191
BaseRepresentation
bin1100010111000100101…
…1100011110100011100
3202022010012020011102010
43011301023203310130
511434344134100322
6241315301431220
721225200241021
oct3056113436434
9668105204363
10212352253212
1182070346930
12351a440b510
1317042448648
14a3c67d5548
1557ccac620c
hex31712e3d1c

212352253212 has 24 divisors (see below), whose sum is σ = 540533008512. Its totient is φ = 64349167600.

The previous prime is 212352253193. The next prime is 212352253231.

It is a happy number.

212352253212 is nontrivially palindromic in base 10.

212352253212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212352253193) and next prime (212352253231).

It is a self number, because there is not a number n which added to its sum of digits gives 212352253212.

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 7 ways as a sum of consecutive naturals, for example, 804364464 + ... + 804364727.

It is an arithmetic number, because the mean of its divisors is an integer number (22522208688).

Almost surely, 2212352253212 is an apocalyptic number.

212352253212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212352253212 is an abundant number, since it is smaller than the sum of its proper divisors (328180755300).

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

212352253212 is a wasteful number, since it uses less digits than its factorization.

212352253212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608729209 (or 1608729207 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

It can be divided in two parts, 212352 and 253212, that added together give a palindrome (465564).

The spelling of 212352253212 in words is "two hundred twelve billion, three hundred fifty-two million, two hundred fifty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1608729191 3217458382 4826187573 6434916764 9652375146 17696021101 19304750292 35392042202 53088063303 70784084404 106176126606 212352253212