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12131110323310 = 2511273433317179
BaseRepresentation
bin1011000010000111111010…
…0001011000010001101110
31120221201111221021121122211
42300201332201120101232
53042224003220321220
641444542151201034
72361305136250036
oct260417641302156
946851457247584
1012131110323310
11395785857a300
12143b11037617a
1369cc6061ab54
142dd2127128c6
151608584a8b5a
hexb087e85846e

12131110323310 has 96 divisors (see below), whose sum is σ = 24386607594720. Its totient is φ = 4340821985280.

The previous prime is 12131110323263. The next prime is 12131110323323. The reversal of 12131110323310 is 1332301113121.

It is a super-2 number, since 2×121311103233102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38088301 + ... + 38405479.

It is an arithmetic number, because the mean of its divisors is an integer number (254027162445).

Almost surely, 212131110323310 is an apocalyptic number.

12131110323310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12131110323310 is an abundant number, since it is smaller than the sum of its proper divisors (12255497271410).

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

12131110323310 is a wasteful number, since it uses less digits than its factorization.

12131110323310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317714 (or 317703 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 12131110323310 its reverse (1332301113121), we get a palindrome (13463411436431).

The spelling of 12131110323310 in words is "twelve trillion, one hundred thirty-one billion, one hundred ten million, three hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 5 10 11 22 55 73 110 121 146 242 365 433 605 730 803 866 1210 1606 2165 4015 4330 4763 8030 8833 9526 17666 23815 31609 44165 47630 52393 63218 88330 104786 158045 261965 316090 317179 347699 523930 634358 695398 1585895 1738495 3171790 3476990 3488969 3824689 6977938 7649378 17444845 19123445 23154067 34889690 38246890 38378659 46308134 76757318 115770335 137338507 191893295 231540670 254694737 274677014 383786590 509389474 686692535 1273473685 1373385070 1510723577 2546947370 2801642107 3021447154 5603284214 7553617885 10025711011 14008210535 15107235770 16617959347 20051422022 28016421070 33235918694 50128555055 83089796735 100257110110 110282821121 166179593470 220565642242 551414105605 1102828211210 1213111032331 2426222064662 6065555161655 12131110323310