Search a number
-
+
11242061172 = 2233176123127
BaseRepresentation
bin10100111100001010…
…00011110101110100
31002000110220212202000
422132011003311310
5141010431424142
65055312215300
7545405641356
oct123605036564
932013825660
1011242061172
114849939a51
122218b3a530
1310a211a704
147890c10d6
1545be5614c
hex29e143d74

11242061172 has 48 divisors (see below), whose sum is σ = 30860565120. Its totient is φ = 3526920576.

The previous prime is 11242061147. The next prime is 11242061183. The reversal of 11242061172 is 27116024211.

11242061172 is a `hidden beast` number, since 1 + 1 + 2 + 42 + 0 + 611 + 7 + 2 = 666.

11242061172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 3059728 + ... + 3063399.

It is an arithmetic number, because the mean of its divisors is an integer number (642928440).

Almost surely, 211242061172 is an apocalyptic number.

11242061172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11242061172 is an abundant number, since it is smaller than the sum of its proper divisors (19618503948).

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

11242061172 is a wasteful number, since it uses less digits than its factorization.

11242061172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6123157 (or 6123149 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 11242061172 its reverse (27116024211), we get a palindrome (38358085383).

The spelling of 11242061172 in words is "eleven billion, two hundred forty-two million, sixty-one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 6123127 12246254 18369381 24492508 36738762 55108143 73477524 104093159 110216286 165324429 208186318 220432572 312279477 330648858 416372636 624558954 661297716 936838431 1249117908 1873676862 2810515293 3747353724 5621030586 11242061172