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1116294921 = 3272372432
BaseRepresentation
bin100001010001001…
…0100111100001001
32212210111122202100
41002202110330021
54241232414141
6302434024013
736443231100
oct10242247411
92783448670
101116294921
11523134995
12271a18009
1314a367851
14a8381037
15680040b6
hex42894f09

1116294921 has 81 divisors (see below), whose sum is σ = 1973617191. Its totient is φ = 606209184.

The previous prime is 1116294911. The next prime is 1116294923. The reversal of 1116294921 is 1294926111.

1116294921 = 13 + 23 + ... + 2583.

It is a happy number.

The square root of 1116294921 is 33411.

It is a perfect power (a square), and thus also a powerful number.

1116294921 is a `hidden beast` number, since 1 + 1 + 1 + 629 + 4 + 9 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 998876025 + 117418896 = 31605^2 + 10836^2 .

It is not a de Polignac number, because 1116294921 - 27 = 1116294793 is a prime.

It is a super-2 number, since 2×11162949212 = 2492228701300792482, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1116294923) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 25960326 + ... + 25960368.

Almost surely, 21116294921 is an apocalyptic number.

1116294921 is the 33411-st square number.

1116294921 is the 16706-th centered octagonal number.

It is an amenable number.

1116294921 is a deficient number, since it is larger than the sum of its proper divisors (857322270).

1116294921 is an equidigital number, since it uses as much as digits as its factorization.

1116294921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 90 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The cubic root of 1116294921 is about 1037.3524004670.

Multiplying 1116294921 by its sum of digits (36), we get a square (40186617156 = 2004662).

The spelling of 1116294921 in words is "one billion, one hundred sixteen million, two hundred ninety-four thousand, nine hundred twenty-one".

Divisors: 1 3 7 9 21 37 43 49 63 111 129 147 259 301 333 387 441 777 903 1369 1591 1813 1849 2107 2331 2709 4107 4773 5439 5547 6321 9583 11137 12321 12943 14319 16317 16641 18963 28749 33411 38829 58867 67081 68413 77959 86247 90601 100233 116487 176601 201243 205239 233877 271803 412069 478891 529803 603729 615717 701631 815409 1236207 1436673 2531281 2884483 3352237 3708621 4310019 7593843 8653449 10056711 17718967 22781529 25960347 30170133 53156901 124032769 159470703 372098307 1116294921