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313212131210 = 2511459101359
BaseRepresentation
bin1001000111011001110…
…01011101011110001010
31002221110021212211112002
410203230321131132022
520112424301144320
6355515422551002
731425455121326
oct4435471353612
91087407784462
10313212131210
111109180a0000
1250852138462
13236c7144524
1411233b2a986
158232564675
hex48ece5d78a

313212131210 has 160 divisors (see below), whose sum is σ = 638685648000. Its totient is φ = 110547536000.

The previous prime is 313212131189. The next prime is 313212131291. The reversal of 313212131210 is 12131212313.

It is a happy number.

It is a super-2 number, since 2×3132121312102 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 872457011 + ... + 872457369.

It is an arithmetic number, because the mean of its divisors is an integer number (3991785300).

Almost surely, 2313212131210 is an apocalyptic number.

313212131210 is an abundant number, since it is smaller than the sum of its proper divisors (325473516790).

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

313212131210 is a wasteful number, since it uses less digits than its factorization.

313212131210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 313212131210 its reverse (12131212313), we get a palindrome (325343343523).

The spelling of 313212131210 in words is "three hundred thirteen billion, two hundred twelve million, one hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 5 10 11 22 55 59 101 110 118 121 202 242 295 359 505 590 605 649 718 1010 1111 1210 1298 1331 1795 2222 2662 3245 3590 3949 5555 5959 6490 6655 7139 7898 11110 11918 12221 13310 14278 14641 19745 21181 24442 29282 29795 35695 36259 39490 42362 43439 59590 61105 65549 71390 72518 73205 78529 86878 105905 122210 131098 134431 146410 157058 181295 211810 217195 232991 268862 327745 362590 392645 398849 434390 465982 477829 655490 672155 721039 785290 797698 863819 955658 1164955 1344310 1442078 1478741 1727638 1994245 2139281 2329910 2389145 2562901 2957482 3605195 3988490 4278562 4319095 4387339 4778290 5125802 5256119 7210390 7393705 7931429 8638190 8774678 10512238 10696405 12814505 14787410 15862858 21392810 21936695 23532091 25629010 26280595 28191911 39657145 43873390 47064182 48260729 52561190 56383822 79314290 87245719 96521458 117660455 140959555 174491438 235320910 241303645 258853001 281919110 310111021 436228595 482607290 517706002 530868019 620222042 872457190 1061736038 1294265005 1550555105 2588530010 2654340095 2847383011 3101110210 5308680190 5694766022 14236915055 28473830110 31321213121 62642426242 156606065605 313212131210