Search a number
-
+
212310837072 = 2433571860701
BaseRepresentation
bin1100010110111010110…
…1100100011101010000
3202022000022022000011000
43011232231210131100
511434303033241242
6241311222022000
721224155224165
oct3055655443520
9668008260130
10212310837072
1182049a29314
1235192577900
13170369a7359
14a3c10d406c
1557c9144a4c
hex316eb64750

212310837072 has 80 divisors (see below), whose sum is σ = 610478714560. Its totient is φ = 70646256000.

The previous prime is 212310837071. The next prime is 212310837113. The reversal of 212310837072 is 270738013212.

212310837072 is a `hidden beast` number, since 212 + 3 + 1 + 0 + 8 + 370 + 72 = 666.

212310837072 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212310837071) 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, 183679 + ... + 677022.

It is an arithmetic number, because the mean of its divisors is an integer number (7630983932).

Almost surely, 2212310837072 is an apocalyptic number.

It is an amenable number.

212310837072 is an abundant number, since it is smaller than the sum of its proper divisors (398167877488).

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

212310837072 is a wasteful number, since it uses less digits than its factorization.

212310837072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861289 (or 861277 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 212310837072 in words is "two hundred twelve billion, three hundred ten million, eight hundred thirty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 571 1142 1713 2284 3426 4568 5139 6852 9136 10278 13704 15417 20556 27408 30834 41112 61668 82224 123336 246672 860701 1721402 2582103 3442804 5164206 6885608 7746309 10328412 13771216 15492618 20656824 23238927 30985236 41313648 46477854 61970472 92955708 123940944 185911416 371822832 491460271 982920542 1474380813 1965841084 2948761626 3931682168 4423142439 5897523252 7863364336 8846284878 11795046504 13269427317 17692569756 23590093008 26538854634 35385139512 53077709268 70770279024 106155418536 212310837072