Search a number
-
+
212122223331312 = 2437631316140867
BaseRepresentation
bin110000001110110010001101…
…110001010100011111110000
31000211001200112110110201001110
4300032302031301110133300
5210300402303133100222
62031051334253433320
762452216303444110
oct6016621561243760
91024050473421043
10212122223331312
1161652591067a68
121b95a85b49b840
139149069675c88
143a54aadd3b040
15197cbbc24030c
hexc0ec8dc547f0

212122223331312 has 40 divisors (see below), whose sum is σ = 626265611741056. Its totient is φ = 60606349523136.

The previous prime is 212122223331311. The next prime is 212122223331433. The reversal of 212122223331312 is 213133322221212.

It is a happy number.

It is a super-3 number, since 3×2121222233313123 (a number of 44 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 212122223331312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212122223331311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315658070098 + ... + 315658070769.

Almost surely, 2212122223331312 is an apocalyptic number.

It is an amenable number.

212122223331312 is an abundant number, since it is smaller than the sum of its proper divisors (414143388409744).

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

212122223331312 is a wasteful number, since it uses less digits than its factorization.

212122223331312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631316140885 (or 631316140879 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 212122223331312 its reverse (213133322221212), we get a palindrome (425255545552524).

The spelling of 212122223331312 in words is "two hundred twelve trillion, one hundred twenty-two billion, two hundred twenty-three million, three hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 631316140867 1262632281734 1893948422601 2525264563468 3787896845202 4419212986069 5050529126936 7575793690404 8838425972138 10101058253872 13257638958207 15151587380808 17676851944276 26515277916414 30303174761616 35353703888552 53030555832828 70707407777104 106061111665656 212122223331312