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12232442313 = 3371337239563
BaseRepresentation
bin10110110010001110…
…00100000111001001
31011120111111110021000
423121013010013021
5200023001123223
65341451405213
7612063021060
oct133107040711
934514443230
1012232442313
115207992a63
122454753809
1311cc36a660
148408471d7
154b8d87543
hex2d91c41c9

12232442313 has 128 divisors (see below), whose sum is σ = 23043686400. Its totient is φ = 6240519936.

The previous prime is 12232442311. The next prime is 12232442317. The reversal of 12232442313 is 31324423221.

12232442313 is a `hidden beast` number, since 1 + 2 + 232 + 4 + 423 + 1 + 3 = 666.

It is not a de Polignac number, because 12232442313 - 21 = 12232442311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12232442311) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21726970 + ... + 21727532.

It is an arithmetic number, because the mean of its divisors is an integer number (180028800).

Almost surely, 212232442313 is an apocalyptic number.

12232442313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12232442313 is a deficient number, since it is larger than the sum of its proper divisors (10811244087).

12232442313 is a wasteful number, since it uses less digits than its factorization.

12232442313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 862 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 12232442313 its reverse (31324423221), we get a palindrome (43556865534).

The spelling of 12232442313 in words is "twelve billion, two hundred thirty-two million, four hundred forty-two thousand, three hundred thirteen".

Divisors: 1 3 7 9 13 21 27 37 39 63 91 111 117 189 239 259 273 333 351 481 563 717 777 819 999 1443 1673 1689 2151 2331 2457 3107 3367 3941 4329 5019 5067 6453 6993 7319 8843 9321 10101 11823 12987 15057 15201 20831 21749 21957 26529 27963 30303 35469 45171 51233 61901 62493 65247 65871 79587 83889 90909 106407 114959 134557 145817 153699 185703 187479 195741 197613 238761 270803 344877 403671 437451 461097 557109 562437 587223 804713 812409 941899 1034631 1211013 1312353 1383291 1671327 1749241 1895621 2414139 2437227 2825697 3103893 3633039 3937059 4978609 5247723 5686863 7242417 7311681 8477091 12244687 14935827 15743169 17060589 21727251 25431273 34850263 36734061 44807481 47229507 51181767 64721917 104550789 110202183 134422443 194165751 313652367 330606549 453053419 582497253 940957101 1359160257 1747491759 4077480771 12232442313