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11017352742 = 2311215175417
BaseRepresentation
bin10100100001010111…
…10111011000100110
31001102211002111201120
422100223313120212
5140030420241432
65021124034410
7540006644634
oct122053673046
931384074646
1011017352742
114744010200
122175832a06
1310676c1b46
1476730a354
1544736ac2c
hex290af7626

11017352742 has 24 divisors (see below), whose sum is σ = 24219967128. Its totient is φ = 3338591520.

The previous prime is 11017352713. The next prime is 11017352771. The reversal of 11017352742 is 24725371011.

11017352742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11017352713) and next prime (11017352771).

It is a super-2 number, since 2×110173527422 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 7586983 + ... + 7588434.

It is an arithmetic number, because the mean of its divisors is an integer number (1009165297).

Almost surely, 211017352742 is an apocalyptic number.

11017352742 is an abundant number, since it is smaller than the sum of its proper divisors (13202614386).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11017352742 is a wasteful number, since it uses less digits than its factorization.

11017352742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15175444 (or 15175433 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 11017352742 in words is "eleven billion, seventeen million, three hundred fifty-two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 15175417 30350834 45526251 91052502 166929587 333859174 500788761 1001577522 1836225457 3672450914 5508676371 11017352742