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12023230312113 = 3178929313076917
BaseRepresentation
bin1010111011110110000001…
…0111110010111010110001
31120120102001121000020012120
42232331200113302322301
53033442033424441423
641323221252144453
72350435566264666
oct256754027627261
946512047006176
1012023230312113
113916029080159
121422223608129
13692a2a3ba0b7
142d7cdacdda6d
1515cb42575ee3
hexaef605f2eb1

12023230312113 has 64 divisors (see below), whose sum is σ = 17238943169280. Its totient is φ = 7427004096512.

The previous prime is 12023230312109. The next prime is 12023230312123. The reversal of 12023230312113 is 31121303232021.

It is a cyclic number.

It is not a de Polignac number, because 12023230312113 - 22 = 12023230312109 is a prime.

It is a super-2 number, since 2×120232303121132 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12023230312123) 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, 1738211131 + ... + 1738218047.

It is an arithmetic number, because the mean of its divisors is an integer number (269358487020).

Almost surely, 212023230312113 is an apocalyptic number.

It is an amenable number.

12023230312113 is a deficient number, since it is larger than the sum of its proper divisors (5215712857167).

12023230312113 is a wasteful number, since it uses less digits than its factorization.

12023230312113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8626.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12023230312113 its reverse (31121303232021), we get a palindrome (43144533544134).

The spelling of 12023230312113 in words is "twelve trillion, twenty-three billion, two hundred thirty million, three hundred twelve thousand, one hundred thirteen".

Divisors: 1 3 17 51 89 267 293 879 1307 1513 3921 4539 4981 6917 14943 20751 22219 26077 66657 78231 116323 117589 348969 352767 382951 443309 615613 1148853 1329927 1846839 1977491 2026681 5932473 6080043 6510167 9040519 10465421 19530501 27121557 31396263 34082639 34453577 102247917 103360731 153688823 180374609 461066469 541123827 579404863 804606191 1738214589 2413818573 2648872067 3066368353 7946616201 9199105059 13678305247 41034915741 45030825139 135092475417 235749613963 707248841889 4007743437371 12023230312113