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11117065125 = 35341970753
BaseRepresentation
bin10100101101010000…
…01111001110100101
31001200202201102101210
422112220033032211
5140231432041000
65035045142033
7542330331405
oct122650171645
931622642353
1011117065125
114795325631
1221a30ba919
13108226475a
14776664805
15450eb5350
hex296a0f3a5

11117065125 has 32 divisors (see below), whose sum is σ = 18543208320. Its totient is φ = 5914867200.

The previous prime is 11117065123. The next prime is 11117065159. The reversal of 11117065125 is 52156071111.

11117065125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11117065125 - 21 = 11117065123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11117065092 and 11117065101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11117065123) 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 31 ways as a sum of consecutive naturals, for example, 121749 + ... + 192501.

It is an arithmetic number, because the mean of its divisors is an integer number (579475260).

Almost surely, 211117065125 is an apocalyptic number.

11117065125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11117065125 is a deficient number, since it is larger than the sum of its proper divisors (7426143195).

11117065125 is an equidigital number, since it uses as much as digits as its factorization.

11117065125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71190 (or 71180 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 30.

The spelling of 11117065125 in words is "eleven billion, one hundred seventeen million, sixty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 75 125 375 419 1257 2095 6285 10475 31425 52375 70753 157125 212259 353765 1061295 1768825 5306475 8844125 26532375 29645507 88936521 148227535 444682605 741137675 2223413025 3705688375 11117065125