Search a number
-
+
212331131112 = 233171061490499
BaseRepresentation
bin1100010110111111101…
…0111111000011101000
3202022001201111001100010
43011233322333003220
511434323232143422
6241313225011520
721224522556402
oct3055772770350
9668051431303
10212331131112
118205a42a551
1235199323ba0
131703ac61569
14a3c3a97b72
1557cad02b0c
hex316febf0e8

212331131112 has 64 divisors (see below), whose sum is σ = 562583880000. Its totient is φ = 66550768640.

The previous prime is 212331131071. The next prime is 212331131113. The reversal of 212331131112 is 211131133212.

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

It is not an unprimeable number, because it can be changed into a prime (212331131113) 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 15 ways as a sum of consecutive naturals, for example, 187639 + ... + 678137.

It is an arithmetic number, because the mean of its divisors is an integer number (8790373125).

Almost surely, 2212331131112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212331131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281291940000).

212331131112 is an abundant number, since it is smaller than the sum of its proper divisors (350252748888).

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

212331131112 is a wasteful number, since it uses less digits than its factorization.

212331131112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491586 (or 491582 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

Adding to 212331131112 its reverse (211131133212), we get a palindrome (423462264324).

The spelling of 212331131112 in words is "two hundred twelve billion, three hundred thirty-one million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 1061 2122 3183 4244 6366 8488 12732 18037 25464 36074 54111 72148 108222 144296 216444 432888 490499 980998 1471497 1961996 2942994 3923992 5885988 8338483 11771976 16676966 25015449 33353932 50030898 66707864 100061796 200123592 520419439 1040838878 1561258317 2081677756 3122516634 4163355512 6245033268 8847130463 12490066536 17694260926 26541391389 35388521852 53082782778 70777043704 106165565556 212331131112