Search a number
-
+
11006707711071 = 323743214693813
BaseRepresentation
bin1010000000101011001011…
…1001110011110001011111
31102222020020101101201001210
42200022302321303301133
52420313214133223241
635224224533035503
72214131322610302
oct240126271636137
942866211351053
1011006707711071
113563a11616586
121299210185b93
1361ac0accbc67
142a0a28368b39
1514149a4d9316
hexa02b2e73c5f

11006707711071 has 16 divisors (see below), whose sum is σ = 15334290971136. Its totient is φ = 7009323574176.

The previous prime is 11006707711057. The next prime is 11006707711121. The reversal of 11006707711071 is 17011770760011.

It is not a de Polignac number, because 11006707711071 - 218 = 11006707448927 is a prime.

It is a super-2 number, since 2×110067077110712 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006707711001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107295640 + ... + 107398173.

It is an arithmetic number, because the mean of its divisors is an integer number (958393185696).

Almost surely, 211006707711071 is an apocalyptic number.

11006707711071 is a deficient number, since it is larger than the sum of its proper divisors (4327583260065).

11006707711071 is a wasteful number, since it uses less digits than its factorization.

11006707711071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214694582.

The product of its (nonzero) digits is 14406, while the sum is 39.

The spelling of 11006707711071 in words is "eleven trillion, six billion, seven hundred seven million, seven hundred eleven thousand, seventy-one".

Divisors: 1 3 23 69 743 2229 17089 51267 214693813 644081439 4937957699 14813873097 159517503059 478552509177 3668902570357 11006707711071