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11132013167 = 1129293119101
BaseRepresentation
bin10100101111000010…
…10000101001101111
31001201210211212020222
422113201100221233
5140244243410132
65040341401555
7542601356612
oct122741205157
931653755228
1011132013167
1147a2805290
1221a81092bb
131085399552
14778636179
15452469412
hex297850a6f

11132013167 has 16 divisors (see below), whose sum is σ = 12605755680. Its totient is φ = 9737616000.

The previous prime is 11132013143. The next prime is 11132013199. The reversal of 11132013167 is 76131023111.

11132013167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11132013167 - 226 = 11064904303 is a prime.

It is a super-2 number, since 2×111320131672 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132063167) 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 15 ways as a sum of consecutive naturals, for example, 33917 + ... + 153017.

It is an arithmetic number, because the mean of its divisors is an integer number (787859730).

Almost surely, 211132013167 is an apocalyptic number.

11132013167 is a deficient number, since it is larger than the sum of its proper divisors (1473742513).

11132013167 is a wasteful number, since it uses less digits than its factorization.

11132013167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119434.

The product of its (nonzero) digits is 756, while the sum is 26.

Adding to 11132013167 its reverse (76131023111), we get a palindrome (87263036278).

The spelling of 11132013167 in words is "eleven billion, one hundred thirty-two million, thirteen thousand, one hundred sixty-seven".

Divisors: 1 11 29 293 319 3223 8497 93467 119101 1310111 3453929 34896593 37993219 383862523 1012001197 11132013167