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212244411312324 = 223213743034146657
BaseRepresentation
bin110000010000100100000000…
…101111011110100011000100
31000211111100220221201021020200
4300100210000233132203010
5210304403023243443244
62031223423030130500
762464103241236646
oct6020440057364304
91024440827637220
10212244411312324
116169a392a92656
121b97a47bab0a30
13915773cc44161
143a5a981ab2896
151980e6e33b669
hexc10900bde8c4

212244411312324 has 36 divisors (see below), whose sum is σ = 540422813731164. Its totient is φ = 70231727342592.

The previous prime is 212244411312211. The next prime is 212244411312361. The reversal of 212244411312324 is 423213114442212.

212244411312324 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 4 + 4 + 4 + 11 + 312 + 324 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 153422904960000 + 58821506352324 = 12386400^2 + 7669518^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21517068397 + ... + 21517078260.

Almost surely, 2212244411312324 is an apocalyptic number.

It is an amenable number.

212244411312324 is an abundant number, since it is smaller than the sum of its proper divisors (328178402418840).

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

212244411312324 is a wasteful number, since it uses less digits than its factorization.

212244411312324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43034146804 (or 43034146799 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 212244411312324 its reverse (423213114442212), we get a palindrome (635457525754536).

The spelling of 212244411312324 in words is "two hundred twelve trillion, two hundred forty-four billion, four hundred eleven million, three hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1233 1644 2466 4932 43034146657 86068293314 129102439971 172136586628 258204879942 387307319913 516409759884 774614639826 1549229279652 5895678092009 11791356184018 17687034276027 23582712368036 35374068552054 53061102828081 70748137104108 106122205656162 212244411312324