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331341402223305 = 325101168894316561
BaseRepresentation
bin100101101010110100110111…
…0100101000011001011001001
31121110011221002000120122211100
41023111221232211003023021
5321412144142432121210
63132412045552252013
7126535424555014245
oct11325515645031311
91543157060518740
10331341402223305
1196637110558941
12311b4225241009
13112b648b36a486
145bb701bc69425
152848e3c1c85c0
hex12d5a6e9432c9

331341402223305 has 48 divisors (see below), whose sum is σ = 580045961224080. Its totient is φ = 174955356672000.

The previous prime is 331341402223283. The next prime is 331341402223339. The reversal of 331341402223305 is 503322204143133.

331341402223305 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 414 + 0 + 2 + 2 + 233 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 35705118341376 + 295636283881929 = 5975376^2 + 17194077^2 .

It is not a de Polignac number, because 331341402223305 - 242 = 326943355712201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 331341402223305.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74602225 + ... + 78918785.

It is an arithmetic number, because the mean of its divisors is an integer number (12084290858835).

Almost surely, 2331341402223305 is an apocalyptic number.

It is an amenable number.

331341402223305 is a deficient number, since it is larger than the sum of its proper divisors (248704559000775).

331341402223305 is a wasteful number, since it uses less digits than its factorization.

331341402223305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4333562 (or 4333559 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 331341402223305 its reverse (503322204143133), we get a palindrome (834663606366438).

The spelling of 331341402223305 in words is "three hundred thirty-one trillion, three hundred forty-one billion, four hundred two million, two hundred twenty-three thousand, three hundred five".

Divisors: 1 3 5 9 15 45 101 303 505 909 1515 4545 16889 50667 84445 152001 253335 760005 1705789 4316561 5117367 8528945 12949683 15352101 21582805 25586835 38849049 64748415 76760505 194245245 435972661 1307917983 2179863305 3923753949 6539589915 19618769745 72902398729 218707196187 364511993645 656121588561 1093535980935 3280607942805 7363142271629 22089426814887 36815711358145 66268280444661 110447134074435 331341402223305