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1101295343993 = 13229224708293
BaseRepresentation
bin10000000001101010010…
…100010101100101111001
310220021122011111001122012
4100001222110111211321
5121020423102001433
62201532245135305
7142365060653435
oct20015224254571
93807564431565
101101295343993
11395069569119
121595316ba535
137cb0c272c00
143b4355359c5
151d9a9571848
hex1006a515979

1101295343993 has 12 divisors (see below), whose sum is σ = 1233648534060. Its totient is φ = 981525819456.

The previous prime is 1101295343971. The next prime is 1101295344001. The reversal of 1101295343993 is 3993435921011.

It can be written as a sum of positive squares in 6 ways, for example, as 331134646249 + 770160697744 = 575443^2 + 877588^2 .

It is not a de Polignac number, because 1101295343993 - 210 = 1101295342969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1101295343933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112349246 + ... + 112359047.

It is an arithmetic number, because the mean of its divisors is an integer number (102804044505).

Almost surely, 21101295343993 is an apocalyptic number.

1101295343993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1101295343993 is a deficient number, since it is larger than the sum of its proper divisors (132353190067).

1101295343993 is a wasteful number, since it uses less digits than its factorization.

1101295343993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224708348 (or 224708335 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 50.

The spelling of 1101295343993 in words is "one trillion, one hundred one billion, two hundred ninety-five million, three hundred forty-three thousand, nine hundred ninety-three".

Divisors: 1 13 29 169 377 4901 224708293 2921207809 6516540497 37975701517 84715026461 1101295343993