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11330342403133 = 132923532935817
BaseRepresentation
bin1010010011100000110100…
…0010001011110000111101
31111010011121001011111020011
42210320031002023300331
52441114020123400013
640033030515423221
72246406306241465
oct244701502136075
944104531144204
1011330342403133
1136791979a5836
12132ba908b4b11
136425a6541150
142b256a3b2ba5
15149adca79c3d
hexa4e0d08bc3d

11330342403133 has 24 divisors (see below), whose sum is σ = 12672975100968. Its totient is φ = 10069520068608.

The previous prime is 11330342403131. The next prime is 11330342403143. The reversal of 11330342403133 is 33130424303311.

It can be written as a sum of positive squares in 12 ways, for example, as 6467245714084 + 4863096689049 = 2543078^2 + 2205243^2 .

It is not a de Polignac number, because 11330342403133 - 21 = 11330342403131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11330342403095 and 11330342403104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330342403131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2391441 + ... + 5327257.

It is an arithmetic number, because the mean of its divisors is an integer number (528040629207).

Almost surely, 211330342403133 is an apocalyptic number.

11330342403133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11330342403133 is a deficient number, since it is larger than the sum of its proper divisors (1342632697835).

11330342403133 is a wasteful number, since it uses less digits than its factorization.

11330342403133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936241 (or 2936212 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 11330342403133 its reverse (33130424303311), we get a palindrome (44460766706444).

The spelling of 11330342403133 in words is "eleven trillion, three hundred thirty billion, three hundred forty-two million, four hundred three thousand, one hundred thirty-three".

Divisors: 1 13 29 353 377 841 4589 10237 10933 133081 296873 2935817 3859349 38165621 85138693 1036343401 1106803009 2469022097 13472464213 30053958629 32097287261 390701462177 871564800241 11330342403133