Search a number
-
+
11057141355 = 351356703289
BaseRepresentation
bin10100100110000111…
…01001011001101011
31001112120221222102220
422103003221121223
5140121112010410
65025104525123
7541002102501
oct122303513153
931476858386
1011057141355
114764516a57
1221870207a3
131072a133c0
1476c706671
1544aaca070
hex2930e966b

11057141355 has 16 divisors (see below), whose sum is σ = 19052305440. Its totient is φ = 5443515648.

The previous prime is 11057141339. The next prime is 11057141413. The reversal of 11057141355 is 55314175011.

11057141355 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 11057141355 - 24 = 11057141339 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 28351450 + ... + 28351839.

It is an arithmetic number, because the mean of its divisors is an integer number (1190769090).

Almost surely, 211057141355 is an apocalyptic number.

11057141355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11057141355 is a deficient number, since it is larger than the sum of its proper divisors (7995164085).

11057141355 is a wasteful number, since it uses less digits than its factorization.

11057141355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56703310.

The product of its (nonzero) digits is 10500, while the sum is 33.

The spelling of 11057141355 in words is "eleven billion, fifty-seven million, one hundred forty-one thousand, three hundred fifty-five".

Divisors: 1 3 5 13 15 39 65 195 56703289 170109867 283516445 737142757 850549335 2211428271 3685713785 11057141355