Search a number
-
+
11354355345311 = 115802311778971
BaseRepresentation
bin1010010100111010010001…
…0100010010011110011111
31111012110120112202100020222
42211032210110102132133
52442012204432022221
640052041400231555
72251216340004326
oct245164424223637
944173515670228
1011354355345311
11368839a6486a0
12133467276b5bb
1364493241c284
142b37a761b0bd
1514a545c759ab
hexa53a451279f

11354355345311 has 8 divisors (see below), whose sum is σ = 12386597778048. Its totient is φ = 10322117631000.

The previous prime is 11354355345211. The next prime is 11354355345349.

11354355345311 is nontrivially palindromic in base 10.

11354355345311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11354355345311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11354355345391) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5493056 + ... + 7272026.

It is an arithmetic number, because the mean of its divisors is an integer number (1548324722256).

Almost surely, 211354355345311 is an apocalyptic number.

11354355345311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11354355345311 is a deficient number, since it is larger than the sum of its proper divisors (1032242432737).

11354355345311 is a wasteful number, since it uses less digits than its factorization.

11354355345311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359213.

The product of its digits is 810000, while the sum is 44.

The spelling of 11354355345311 in words is "eleven trillion, three hundred fifty-four billion, three hundred fifty-five million, three hundred forty-five thousand, three hundred eleven".

Divisors: 1 11 580231 1778971 6382541 19568681 1032214122301 11354355345311