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11333130010033 = 131934741795261
BaseRepresentation
bin1010010011101011001100…
…1100000011110110110001
31111010102210022112121000011
42210322303030003312301
52441140222240310113
640034211255454521
72246535345432346
oct244726314036661
944112708477004
1011333130010033
11367a398489097
12133052a387441
1364292bc1c4a0
142b27526cc7cd
15149c0266763d
hexa4eb3303db1

11333130010033 has 16 divisors (see below), whose sum is σ = 12268534629456. Its totient is φ = 10406818160640.

The previous prime is 11333130010019. The next prime is 11333130010067. The reversal of 11333130010033 is 33001003133311.

11333130010033 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 5580097501729 + 5753032508304 = 2362223^2 + 2398548^2 .

It is a cyclic number.

It is not a de Polignac number, because 11333130010033 - 221 = 11333127912881 is a prime.

It is a super-2 number, since 2×113331300100332 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11333130009986 and 11333130010013.

It is not an unprimeable number, because it can be changed into a prime (11333130010003) 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, 118921623 + ... + 119016883.

It is an arithmetic number, because the mean of its divisors is an integer number (766783414341).

Almost surely, 211333130010033 is an apocalyptic number.

11333130010033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11333130010033 is a deficient number, since it is larger than the sum of its proper divisors (935404619423).

11333130010033 is a wasteful number, since it uses less digits than its factorization.

11333130010033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142884.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 11333130010033 its reverse (33001003133311), we get a palindrome (44334133143344).

The spelling of 11333130010033 in words is "eleven trillion, three hundred thirty-three billion, one hundred thirty million, ten thousand, thirty-three".

Divisors: 1 13 193 2509 47417 95261 616421 1238393 9151481 18385373 118969253 239009849 4516990837 58720880881 871779231541 11333130010033