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1010202112213 = 72113182445749
BaseRepresentation
bin11101011001101001011…
…11001111000011010101
310120120111201111102102221
432230310233033003111
5113022343220042323
62052025213102341
7132661515163300
oct16546457170325
93516451442387
101010202112213
1135a473835898
1214394a7879b1
1374352acc828
1436c7337bb37
151b42724955d
hexeb34bcf0d5

1010202112213 has 12 divisors (see below), whose sum is σ = 1185532483500. Its totient is φ = 858224798592.

The previous prime is 1010202112207. The next prime is 1010202112223. The reversal of 1010202112213 is 3122112020101.

It can be written as a sum of positive squares in 2 ways, for example, as 253444785489 + 756757326724 = 503433^2 + 869918^2 .

It is not a de Polignac number, because 1010202112213 - 25 = 1010202112181 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010202112223) by changing a digit.

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, 91217338 + ... + 91228411.

It is an arithmetic number, because the mean of its divisors is an integer number (98794373625).

Almost surely, 21010202112213 is an apocalyptic number.

It is an amenable number.

1010202112213 is a deficient number, since it is larger than the sum of its proper divisors (175330371287).

1010202112213 is a wasteful number, since it uses less digits than its factorization.

1010202112213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182445876 (or 182445869 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1010202112213 its reverse (3122112020101), we get a palindrome (4132314132314).

The spelling of 1010202112213 in words is "one trillion, ten billion, two hundred two million, one hundred twelve thousand, two hundred thirteen".

Divisors: 1 7 49 113 791 5537 182445749 1277120243 8939841701 20616369637 144314587459 1010202112213