Search a number
-
+
1110301113330 = 2325531012304629
BaseRepresentation
bin10000001010000011000…
…110100111101111110010
310221010212210102112200200
4100022003012213233302
5121142344041111310
62210022034100030
7143134203513633
oct20120306475762
93833783375620
101110301113330
1139897003a9a2
1215b22571a616
1380915c931c6
143ba4b60d88a
151dd34edc9c0
hex102831a7bf2

1110301113330 has 96 divisors (see below), whose sum is σ = 2970373077360. Its totient is φ = 287617574400.

The previous prime is 1110301113293. The next prime is 1110301113347. The reversal of 1110301113330 is 333111030111.

1110301113330 is a `hidden beast` number, since 11 + 10 + 301 + 1 + 13 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 999446076729 + 110855036601 = 999723^2 + 332949^2 .

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

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, 670545 + ... + 1634084.

Almost surely, 21110301113330 is an apocalyptic number.

1110301113330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1110301113330 is an abundant number, since it is smaller than the sum of its proper divisors (1860071964030).

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

1110301113330 is a wasteful number, since it uses less digits than its factorization.

1110301113330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304796 (or 2304793 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1110301113330 its reverse (333111030111), we get a palindrome (1443412143441).

The spelling of 1110301113330 in words is "one trillion, one hundred ten billion, three hundred one million, one hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 101 106 159 202 265 303 318 477 505 530 606 795 909 954 1010 1515 1590 1818 2385 3030 4545 4770 5353 9090 10706 16059 26765 32118 48177 53530 80295 96354 160590 240885 481770 2304629 4609258 6913887 11523145 13827774 20741661 23046290 34569435 41483322 69138870 103708305 122145337 207416610 232767529 244290674 366436011 465535058 610726685 698302587 732872022 1099308033 1163837645 1221453370 1396605174 1832180055 2094907761 2198616066 2327675290 3491512935 3664360110 4189815522 5496540165 6983025870 10474538805 10993080330 12336679037 20949077610 24673358074 37010037111 61683395185 74020074222 111030111333 123366790370 185050185555 222060222666 370100371110 555150556665 1110301113330