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11311213213301 = 1732411361199337
BaseRepresentation
bin1010010010011001100011…
…0110000111011001110101
31111001100012220012221221212
42210212120312013121311
52440310331040311201
640020144414451205
72245131256640651
oct244463066073165
944040186187855
1011311213213301
113671070a81341
121328232503b05
136408483ac901
142b1673a09a61
1514936d4c1abb
hexa4998d87675

11311213213301 has 16 divisors (see below), whose sum is σ = 11432252774448. Its totient is φ = 11190882508800.

The previous prime is 11311213213213. The next prime is 11311213213331. The reversal of 11311213213301 is 10331231211311.

11311213213301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8639888401 + 11302573324900 = 92951^2 + 3361930^2 .

It is a cyclic number.

It is not a de Polignac number, because 11311213213301 - 222 = 11311209018997 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 (11311213213331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56644505 + ... + 56843841.

It is an arithmetic number, because the mean of its divisors is an integer number (714515798403).

Almost surely, 211311213213301 is an apocalyptic number.

It is an amenable number.

11311213213301 is a deficient number, since it is larger than the sum of its proper divisors (121039561147).

11311213213301 is a wasteful number, since it uses less digits than its factorization.

11311213213301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201112.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 11311213213301 its reverse (10331231211311), we get a palindrome (21642444424612).

The spelling of 11311213213301 in words is "eleven trillion, three hundred eleven billion, two hundred thirteen million, two hundred thirteen thousand, three hundred one".

Divisors: 1 173 241 1361 41693 199337 235453 328001 34485301 48040217 56744173 271297657 8310957541 46934494661 65382735337 11311213213301