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11451103146 = 2327592835443
BaseRepresentation
bin10101010101000100…
…11111011110101010
31002120001021022102100
422222202133132222
5141422440300041
65132140514230
7553524525240
oct125242373652
932501238370
1011451103146
11494693830a
122276b4b976
13110651c4a2
147a8b78790
154704996b6
hex2aa89f7aa

11451103146 has 96 divisors (see below), whose sum is σ = 28942917120. Its totient is φ = 3204336672.

The previous prime is 11451103133. The next prime is 11451103163. The reversal of 11451103146 is 64130115411.

11451103146 is a `hidden beast` number, since 1 + 1 + 4 + 511 + 0 + 3 + 146 = 666.

It is a super-2 number, since 2×114511031462 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2101101 + ... + 2106543.

It is an arithmetic number, because the mean of its divisors is an integer number (301488720).

Almost surely, 211451103146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11451103146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14471458560).

11451103146 is an abundant number, since it is smaller than the sum of its proper divisors (17491813974).

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

11451103146 is a wasteful number, since it uses less digits than its factorization.

11451103146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5800 (or 5797 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 11451103146 its reverse (64130115411), we get a palindrome (75581218557).

The spelling of 11451103146 in words is "eleven billion, four hundred fifty-one million, one hundred three thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 118 126 177 283 354 413 531 566 826 849 1062 1239 1698 1981 2478 2547 3717 3962 5094 5443 5943 7434 10886 11886 16329 16697 17829 32658 33394 35658 38101 48987 50091 76202 97974 100182 114303 116879 150273 228606 233758 300546 321137 342909 350637 642274 685818 701274 963411 1051911 1540369 1926822 2103822 2247959 2890233 3080738 4495918 4621107 5780466 6743877 9242214 10782583 13487754 13863321 20231631 21565166 27726642 32347749 40463262 64695498 90881771 97043247 181763542 194086494 272645313 545290626 636172397 817935939 1272344794 1635871878 1908517191 3817034382 5725551573 11451103146