Search a number
-
+
11310113232 = 24321137192979
BaseRepresentation
bin10101000100010001…
…01010000111010000
31002012012222021121200
422202020222013100
5141130342110412
65110142551200
7550163243025
oct124210520720
932165867550
1011310113232
11488429a520
122237898500
1310b32566c2
1479415754c
15462de99dc
hex2a222a1d0

11310113232 has 120 divisors (see below), whose sum is σ = 35463548640. Its totient is φ = 3334659840.

The previous prime is 11310113231. The next prime is 11310113233. The reversal of 11310113232 is 23231101311.

11310113232 is a `hidden beast` number, since 11 + 310 + 113 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (11310113231) and next prime (11310113233).

It is a super-2 number, since 2×113101132322 (a number of 21 digits) contains 22 as substring.

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 (11310113231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37882 + ... + 155097.

It is an arithmetic number, because the mean of its divisors is an integer number (295529572).

Almost surely, 211310113232 is an apocalyptic number.

11310113232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11310113232 is an abundant number, since it is smaller than the sum of its proper divisors (24153435408).

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

11310113232 is a wasteful number, since it uses less digits than its factorization.

11310113232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193041 (or 193032 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11310113232 its reverse (23231101311), we get a palindrome (34541214543).

The spelling of 11310113232 in words is "eleven billion, three hundred ten million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 37 44 48 66 72 74 88 99 111 132 144 148 176 198 222 264 296 333 396 407 444 528 592 666 792 814 888 1221 1332 1584 1628 1776 2442 2664 3256 3663 4884 5328 6512 7326 9768 14652 19536 29304 58608 192979 385958 578937 771916 1157874 1543832 1736811 2122769 2315748 3087664 3473622 4245538 4631496 6368307 6947244 7140223 8491076 9262992 12736614 13894488 14280446 16982152 19104921 21420669 25473228 27788976 28560892 33964304 38209842 42841338 50946456 57121784 64262007 76419684 78542453 85682676 101892912 114243568 128524014 152839368 157084906 171365352 235627359 257048028 305678736 314169812 342730704 471254718 514096056 628339624 706882077 942509436 1028192112 1256679248 1413764154 1885018872 2827528308 3770037744 5655056616 11310113232