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11100313305 = 34579346939
BaseRepresentation
bin10100101011010000…
…10101011011011001
31001122121012100020000
422111220111123121
5140213140011210
65033250123213
7542035051314
oct122550253331
931577170200
1011100313305
114786923754
122199580509
13107b94a933
1477434397b
1544e7a6ac0
hex295a156d9

11100313305 has 40 divisors (see below), whose sum is σ = 20150275200. Its totient is φ = 5845211424.

The previous prime is 11100313283. The next prime is 11100313321. The reversal of 11100313305 is 50331300111.

11100313305 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 11100313305 - 27 = 11100313177 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 141475 + ... + 205464.

It is an arithmetic number, because the mean of its divisors is an integer number (503756880).

Almost surely, 211100313305 is an apocalyptic number.

11100313305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11100313305 is a deficient number, since it is larger than the sum of its proper divisors (9049961895).

11100313305 is an equidigital number, since it uses as much as digits as its factorization.

11100313305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347035 (or 347026 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

Adding to 11100313305 its reverse (50331300111), we get a palindrome (61431613416).

The spelling of 11100313305 in words is "eleven billion, one hundred million, three hundred thirteen thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 79 81 135 237 395 405 711 1185 2133 3555 6399 10665 31995 346939 1040817 1734695 3122451 5204085 9367353 15612255 27408181 28102059 46836765 82224543 137040905 140510295 246673629 411122715 740020887 1233368145 2220062661 3700104435 11100313305