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212834235312 = 2434164223947
BaseRepresentation
bin1100011000110111101…
…0001011001110110000
3202100100210011101120000
43012031322023032300
511441341031012222
6241435200150000
721243142102446
oct3061572131660
9670323141500
10212834235312
1182298417146
12352b9908300
13170bb26255a
14a43081ab96
15580a0809ac
hex318de8b3b0

212834235312 has 50 divisors (see below), whose sum is σ = 616004028948. Its totient is φ = 70944744672.

The previous prime is 212834235217. The next prime is 212834235319. The reversal of 212834235312 is 213532438212.

212834235312 is a `hidden beast` number, since 2 + 1 + 2 + 83 + 42 + 3 + 531 + 2 = 666.

212834235312 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 (36).

It is not an unprimeable number, because it can be changed into a prime (212834235319) 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 9 ways as a sum of consecutive naturals, for example, 82110678 + ... + 82113269.

Almost surely, 2212834235312 is an apocalyptic number.

It is an amenable number.

212834235312 is an abundant number, since it is smaller than the sum of its proper divisors (403169793636).

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

212834235312 is a wasteful number, since it uses less digits than its factorization.

212834235312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164223967 (or 164223952 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 212834235312 in words is "two hundred twelve billion, eight hundred thirty-four million, two hundred thirty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 164223947 328447894 492671841 656895788 985343682 1313791576 1478015523 1970687364 2627583152 2956031046 3941374728 4434046569 5912062092 7882749456 8868093138 11824124184 13302139707 17736186276 23648248368 26604279414 35472372552 53208558828 70944745104 106417117656 212834235312