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212133331144 = 2372541156457
BaseRepresentation
bin1100010110010000100…
…0011100000011001000
3202021112221021202210101
43011210020130003020
511433422113044034
6241241441255144
721216601364200
oct3054410340310
9667487252711
10212133331144
1181a6880a4a9
12351430344b4
1317008c97767
14a3a56c9400
1557b8780514
hex316421c0c8

212133331144 has 24 divisors (see below), whose sum is σ = 462688771590. Its totient is φ = 90914284608.

The previous prime is 212133331141. The next prime is 212133331159. The reversal of 212133331144 is 441133331212.

It can be written as a sum of positive squares in only one way, i.e., 198614618244 + 13518712900 = 445662^2 + 116270^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (212133331141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 270577837 + ... + 270578620.

Almost surely, 2212133331144 is an apocalyptic number.

It is an amenable number.

212133331144 is an abundant number, since it is smaller than the sum of its proper divisors (250555440446).

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

212133331144 is a wasteful number, since it uses less digits than its factorization.

212133331144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541156477 (or 541156466 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

Adding to 212133331144 its reverse (441133331212), we get a palindrome (653266662356).

The spelling of 212133331144 in words is "two hundred twelve billion, one hundred thirty-three million, three hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 541156457 1082312914 2164625828 3788095199 4329251656 7576190398 15152380796 26516666393 30304761592 53033332786 106066665572 212133331144