Search a number
-
+
103511142 = 2337416679
BaseRepresentation
bin1100010101101…
…11010001100110
321012202220121000
412022313101212
5202444324032
614134334130
72364554520
oct612672146
9235686530
10103511142
115347a4a9
122a7ba346
13185a29c7
14da66a10
159149e7c
hex62b7466

103511142 has 64 divisors (see below), whose sum is σ = 269337600. Its totient is φ = 28848960.

The previous prime is 103511137. The next prime is 103511143. The reversal of 103511142 is 241115301.

103511142 is a `hidden beast` number, since 10 + 3 + 511 + 142 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103511143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12159 + ... + 18837.

It is an arithmetic number, because the mean of its divisors is an integer number (4208400).

Almost surely, 2103511142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103511142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134668800).

103511142 is an abundant number, since it is smaller than the sum of its proper divisors (165826458).

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

103511142 is a wasteful number, since it uses less digits than its factorization.

103511142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6738 (or 6732 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 103511142 is about 10174.0425593763. The cubic root of 103511142 is about 469.5289410448.

Adding to 103511142 its reverse (241115301), we get a palindrome (344626443).

The spelling of 103511142 in words is "one hundred three million, five hundred eleven thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 54 63 82 123 126 189 246 287 369 378 574 738 861 1107 1722 2214 2583 5166 6679 7749 13358 15498 20037 40074 46753 60111 93506 120222 140259 180333 273839 280518 360666 420777 547678 821517 841554 1262331 1643034 1916873 2464551 2524662 3833746 4929102 5750619 7393653 11501238 14787306 17251857 34503714 51755571 103511142