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11330320122 = 23311192343649
BaseRepresentation
bin10101000110101011…
…01111011011111010
31002020121222220021000
422203111233123322
5141201030220442
65112144025430
7550530063162
oct124325573372
932217886230
1011330320122
114894741230
122242602276
1310b74b0044
14796ad75a2
15464a8bd4c
hex2a356f6fa

11330320122 has 128 divisors (see below), whose sum is σ = 30170880000. Its totient is φ = 3111229440.

The previous prime is 11330320117. The next prime is 11330320129. The reversal of 11330320122 is 22102303311.

11330320122 is a `hidden beast` number, since 1 + 1 + 330 + 320 + 12 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11330320095 and 11330320104.

It is not an unprimeable number, because it can be changed into a prime (11330320129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 237754 + ... + 281402.

It is an arithmetic number, because the mean of its divisors is an integer number (235710000).

Almost surely, 211330320122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11330320122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15085440000).

11330320122 is an abundant number, since it is smaller than the sum of its proper divisors (18840559878).

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

11330320122 is a wasteful number, since it uses less digits than its factorization.

11330320122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43713 (or 43707 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11330320122 its reverse (22102303311), we get a palindrome (33432623433).

The spelling of 11330320122 in words is "eleven billion, three hundred thirty million, three hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 23 27 33 38 46 54 57 66 69 99 114 138 171 198 207 209 253 297 342 414 418 437 506 513 594 621 627 759 874 1026 1242 1254 1311 1518 1881 2277 2622 3762 3933 4554 4807 5643 6831 7866 9614 11286 11799 13662 14421 23598 28842 43263 43649 86526 87298 129789 130947 259578 261894 392841 480139 785682 829331 960278 1003927 1178523 1440417 1658662 2007854 2357046 2487993 2880834 3011781 4321251 4975986 6023562 7463979 8642502 9035343 9122641 11043197 12963753 14927958 18070686 18245282 19074613 22086394 22391937 25927506 27106029 27367923 33129591 38149226 44783874 54212058 54735846 57223839 66259182 82103769 99388773 114447678 164207538 171671517 198777546 209820743 246311307 298166319 343343034 419641486 492622614 515014551 596332638 629462229 1030029102 1258924458 1888386687 3776773374 5665160061 11330320122