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2202042314313 = 322961163848531
BaseRepresentation
bin100000000010110011111…
…100110010111001001001
321210111212010002212000100
4200002303330302321021
5242034240313024223
64403334305000013
7315043442561142
oct40026374627111
97714763085010
102202042314313
1177997652aa56
122b692b623009
1312c861a2494a
1478817cc2ac9
153c4308c2043
hex200b3f32e49

2202042314313 has 48 divisors (see below), whose sum is σ = 3364870616640. Its totient is φ = 1385615548800.

The previous prime is 2202042314287. The next prime is 2202042314323. The reversal of 2202042314313 is 3134132402022.

2202042314313 is a `hidden beast` number, since 2 + 2 + 0 + 204 + 23 + 1 + 431 + 3 = 666.

It is not a de Polignac number, because 2202042314313 - 217 = 2202042183241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2202042314323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2170858 + ... + 3019388.

It is an arithmetic number, because the mean of its divisors is an integer number (70101471180).

Almost surely, 22202042314313 is an apocalyptic number.

It is an amenable number.

2202042314313 is a deficient number, since it is larger than the sum of its proper divisors (1162828302327).

2202042314313 is a wasteful number, since it uses less digits than its factorization.

2202042314313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848790 (or 848787 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2202042314313 its reverse (3134132402022), we get a palindrome (5336174716335).

The spelling of 2202042314313 in words is "two trillion, two hundred two billion, forty-two million, three hundred fourteen thousand, three hundred thirteen".

Divisors: 1 3 9 29 61 87 163 183 261 489 549 1467 1769 4727 5307 9943 14181 15921 29829 42543 89487 288347 848531 865041 2545593 2595123 7636779 24607399 51760391 73822197 138310553 155281173 221466591 414931659 465843519 1244794977 1501051339 4011006037 4503154017 8436943733 12033018111 13509462051 25310831199 36099054333 75932493597 244671368257 734014104771 2202042314313