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1130410011231 = 34171927331151
BaseRepresentation
bin10000011100110001101…
…011111110101001011111
311000001210012212101210000
4100130301223332221133
5122010034430324411
62223145253345343
7144445420362264
oct20346153765137
94001705771700
101130410011231
113a6449a88586
121630b8038253
138279c0a8667
143c9d816126b
151e6105b9956
hex10731afea5f

1130410011231 has 120 divisors (see below), whose sum is σ = 1912936284864. Its totient is φ = 662720486400.

The previous prime is 1130410011221. The next prime is 1130410011233. The reversal of 1130410011231 is 1321100140311.

It is a happy number.

1130410011231 is a `hidden beast` number, since 1 + 13 + 0 + 410 + 0 + 11 + 231 = 666.

It is not a de Polignac number, because 1130410011231 - 213 = 1130410003039 is a prime.

It is a super-3 number, since 3×11304100112313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130410011233) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 36272506 + ... + 36303656.

Almost surely, 21130410011231 is an apocalyptic number.

1130410011231 is a deficient number, since it is larger than the sum of its proper divisors (782526273633).

1130410011231 is a wasteful number, since it uses less digits than its factorization.

1130410011231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31291 (or 31263 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1130410011231 its reverse (1321100140311), we get a palindrome (2451510151542).

The spelling of 1130410011231 in words is "one trillion, one hundred thirty billion, four hundred ten million, eleven thousand, two hundred thirty-one".

Divisors: 1 3 9 17 19 27 51 57 73 81 153 171 219 323 361 459 513 657 969 1083 1241 1377 1387 1539 1971 2907 3249 3723 4161 5913 6137 8721 9747 11169 12483 18411 23579 26163 26353 29241 31151 33507 37449 55233 70737 79059 93453 100521 112347 165699 212211 237177 280359 448001 497097 529567 591869 636633 711531 841077 1344003 1588701 1775607 1909899 2134593 2274023 2523231 4032009 4766103 5326821 6822069 10061773 11245511 12096027 14298309 15980463 20466207 30185319 33736533 36288081 38658391 42894927 43206437 47941389 61398621 90555957 101209599 115975173 129619311 184195863 191173687 271667871 303628797 347925519 388857933 573521061 734509429 815003613 820922303 910886391 1043776557 1166573799 1720563183 2203528287 2462766909 3131329671 3499721397 5161689549 6610584861 7388300727 13955679151 15485068647 19831754583 22164902181 41867037453 59495263749 66494706543 125601112359 376803337077 1130410011231