Search a number
-
+
211323000323112 = 233337242310783313
BaseRepresentation
bin110000000011001001111000…
…010111011111110000101000
31000201020021121020101020102220
4300003021320113133300220
5210144304001040314422
62025240240210554040
762340403643120226
oct6003117027376050
91021207536336386
10211323000323112
1161374643559757
121b84b991298920
1390bb89a684a82
143a28132c71b16
151966ee227ce5c
hexc032785dfc28

211323000323112 has 64 divisors (see below), whose sum is σ = 530093913598080. Its totient is φ = 70202984312832.

The previous prime is 211323000323093. The next prime is 211323000323129.

211323000323112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14205568 + ... + 24988880.

It is an arithmetic number, because the mean of its divisors is an integer number (8282717399970).

Almost surely, 2211323000323112 is an apocalyptic number.

It is an amenable number.

211323000323112 is an abundant number, since it is smaller than the sum of its proper divisors (318770913274968).

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

211323000323112 is a wasteful number, since it uses less digits than its factorization.

211323000323112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10786082 (or 10786078 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 211323000 and 323112, that added together give a palindrome (211646112).

The spelling of 211323000323112 in words is "two hundred eleven trillion, three hundred twenty-three billion, three hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 337 674 1011 1348 2022 2423 2696 4044 4846 7269 8088 9692 14538 19384 29076 58152 816551 1633102 2449653 3266204 4899306 6532408 9798612 10783313 19597224 21566626 32349939 43133252 64699878 86266504 129399756 258799512 3633976481 7267952962 10901929443 14535905924 21803858886 26127967399 29071811848 43607717772 52255934798 78383902197 87215435544 104511869596 156767804394 209023739192 313535608788 627071217576 8805125013463 17610250026926 26415375040389 35220500053852 52830750080778 70441000107704 105661500161556 211323000323112