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12113332331310 = 23257119331611289
BaseRepresentation
bin1011000001000101101011…
…0111101110001100101110
31120220000121221212001100200
42300101122313232030232
53041431101034100220
641432442115134330
72360105444643420
oct260213267561456
946800557761320
1012113332331310
113950265341831
12143778a5a43a6
1369b3893abc62
142dc407596810
15160167855890
hexb045adee32e

12113332331310 has 96 divisors (see below), whose sum is σ = 35996940457920. Its totient is φ = 2768527931904.

The previous prime is 12113332331293. The next prime is 12113332331351. The reversal of 12113332331310 is 1313323331121.

12113332331310 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 3 + 332 + 3 + 313 + 10 = 666.

It is a super-2 number, since 2×121133323313102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6712146 + ... + 8323434.

It is an arithmetic number, because the mean of its divisors is an integer number (374968129770).

Almost surely, 212113332331310 is an apocalyptic number.

12113332331310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12113332331310 is an abundant number, since it is smaller than the sum of its proper divisors (23883608126610).

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

12113332331310 is a wasteful number, since it uses less digits than its factorization.

12113332331310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623242 (or 1623239 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 12113332331310 its reverse (1313323331121), we get a palindrome (13426655662431).

The spelling of 12113332331310 in words is "twelve trillion, one hundred thirteen billion, three hundred thirty-two million, three hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 11933 23866 35799 59665 71598 83531 107397 119330 167062 178995 214794 250593 357990 417655 501186 536985 751779 835310 1073970 1252965 1503558 1611289 2505930 3222578 3758895 4833867 7517790 8056445 9667734 11279023 14501601 16112890 22558046 24169335 29003202 33837069 48338670 56395115 67674138 72508005 101511207 112790230 145016010 169185345 203022414 338370690 507556035 1015112070 19227511637 38455023274 57682534911 96137558185 115365069822 134592581459 173047604733 192275116370 269185162918 288412674555 346095209466 403777744377 576825349110 672962907295 807555488754 865238023665 1211333233131 1345925814590 1730476047330 2018888721885 2422666466262 4037777443770 6056666165655 12113332331310