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12210231737745 = 325271338483061
BaseRepresentation
bin1011000110101110101010…
…0001100111110110010001
31121020021202001011220211200
42301223222201213312101
53100023023311101440
641545145241501413
72400105632212506
oct261535241476621
947207661156750
1012210231737745
11398836a550008
121452511aa1869
136a755c716442
14302d9a9074ad
1516293977ac30
hexb1aea867d91

12210231737745 has 12 divisors (see below), whose sum is σ = 21164401678836. Its totient is φ = 6512123593440.

The previous prime is 12210231737723. The next prime is 12210231737813. The reversal of 12210231737745 is 54773713201221.

12210231737745 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 0 + 231 + 7 + 377 + 45 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7633986643089 + 4576245094656 = 2762967^2 + 2139216^2 .

It is not a de Polignac number, because 12210231737745 - 28 = 12210231737489 is a prime.

It is a super-3 number, since 3×122102317377453 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 271338483061 = 12210231737745 / (1 + 2 + 2 + 1 + 0 + 2 + 3 + 1 + 7 + 3 + 7 + 7 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 12210231737745.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 135669241486 + ... + 135669241575.

It is an arithmetic number, because the mean of its divisors is an integer number (1763700139903).

Almost surely, 212210231737745 is an apocalyptic number.

12210231737745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12210231737745 is a deficient number, since it is larger than the sum of its proper divisors (8954169941091).

12210231737745 is a wasteful number, since it uses less digits than its factorization.

12210231737745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271338483072 (or 271338483069 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

Adding to 12210231737745 its reverse (54773713201221), we get a palindrome (66983944938966).

The spelling of 12210231737745 in words is "twelve trillion, two hundred ten billion, two hundred thirty-one million, seven hundred thirty-seven thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 45 271338483061 814015449183 1356692415305 2442046347549 4070077245915 12210231737745