Search a number
-
+
211931509212 = 22332385318643
BaseRepresentation
bin1100010101100000011…
…0100011000111011100
3202021000212112011011000
43011120012203013130
511433013431243322
6241205431430300
721211601051103
oct3053006430734
9667025464130
10211931509212
11819748a2715
12350a7525390
1316ca62230b7
14a38699103a
1557a5bb63ac
hex31581a31dc

211931509212 has 48 divisors (see below), whose sum is σ = 573341287680. Its totient is φ = 67572364464.

The previous prime is 211931509187. The next prime is 211931509247. The reversal of 211931509212 is 212905139112.

211931509212 is a `hidden beast` number, since 2 + 119 + 31 + 509 + 2 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42656838 + ... + 42661805.

It is an arithmetic number, because the mean of its divisors is an integer number (11944610160).

Almost surely, 2211931509212 is an apocalyptic number.

It is an amenable number.

211931509212 is an abundant number, since it is smaller than the sum of its proper divisors (361409778468).

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

211931509212 is a wasteful number, since it uses less digits than its factorization.

211931509212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85318679 (or 85318671 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 211931509212 in words is "two hundred eleven billion, nine hundred thirty-one million, five hundred nine thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 85318643 170637286 255955929 341274572 511911858 767867787 1023823716 1535735574 1962328789 2303603361 3071471148 3924657578 4607206722 5886986367 7849315156 9214413444 11773972734 17660959101 23547945468 35321918202 52982877303 70643836404 105965754606 211931509212