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11330121231 = 321113103127673
BaseRepresentation
bin10101000110101001…
…11110111000001111
31002020121121210102200
422203110332320033
5141201002334411
65112135452543
7550525304262
oct124324767017
932217553380
1011330121231
114894615860
122242527153
1310b7440660
14796a84cd9
15464a4ce56
hex2a353ee0f

11330121231 has 96 divisors (see below), whose sum is σ = 19595476992. Its totient is φ = 6218311680.

The previous prime is 11330121221. The next prime is 11330121233. The reversal of 11330121231 is 13212103311.

11330121231 is a `hidden beast` number, since 113 + 301 + 21 + 231 = 666.

It is not a de Polignac number, because 11330121231 - 223 = 11321732623 is a prime.

It is a super-2 number, since 2×113301212312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330121233) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 16834911 + ... + 16835583.

It is an arithmetic number, because the mean of its divisors is an integer number (204119552).

Almost surely, 211330121231 is an apocalyptic number.

11330121231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11330121231 is a deficient number, since it is larger than the sum of its proper divisors (8265355761).

11330121231 is a wasteful number, since it uses less digits than its factorization.

11330121231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 930 counting only the distinct ones).

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

Adding to 11330121231 its reverse (13212103311), we get a palindrome (24542224542).

The spelling of 11330121231 in words is "eleven billion, three hundred thirty million, one hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 3 9 11 13 33 39 99 103 117 127 143 309 381 429 673 927 1133 1143 1287 1339 1397 1651 2019 3399 4017 4191 4953 6057 7403 8749 10197 12051 12573 13081 14729 14859 18161 22209 26247 39243 44187 54483 66627 69319 78741 85471 96239 117729 132561 143891 163449 170053 207957 256413 288717 431673 510159 623871 762509 769239 866151 901147 940181 1111123 1295019 1530477 1870583 2287527 2703441 2820543 3333369 5611749 6862581 8110323 8461629 8803513 9912617 10000107 12222353 16835247 26410539 29737851 36667059 79231617 89213553 96838643 110001177 114445669 290515929 343337007 871547787 1030011021 1258902359 3776707077 11330121231