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1313130212232 = 233374153336763
BaseRepresentation
bin10011000110111100101…
…010001110101110001000
311122112102022011100021220
4103012330222032232020
5133003242313242412
62443124345402040
7163604406432456
oct23067452165610
94575368140256
101313130212232
11466993853a63
121925b0799320
1396a9b45a3a7
14477ad32b9d6
15242569e868c
hex131bca8eb88

1313130212232 has 128 divisors (see below), whose sum is σ = 3454941893760. Its totient is φ = 415353415680.

The previous prime is 1313130212201. The next prime is 1313130212249. The reversal of 1313130212232 is 2322120313131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194160483 + ... + 194167245.

It is an arithmetic number, because the mean of its divisors is an integer number (26991733545).

Almost surely, 21313130212232 is an apocalyptic number.

1313130212232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313130212232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727470946880).

1313130212232 is an abundant number, since it is smaller than the sum of its proper divisors (2141811681528).

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

1313130212232 is a wasteful number, since it uses less digits than its factorization.

1313130212232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12183 (or 12179 counting only the distinct ones).

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

Adding to 1313130212232 its reverse (2322120313131), we get a palindrome (3635250525363).

The spelling of 1313130212232 in words is "one trillion, three hundred thirteen billion, one hundred thirty million, two hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 41 74 82 111 123 148 164 222 246 296 328 444 492 888 984 1517 3034 4551 5333 6068 6763 9102 10666 12136 13526 15999 18204 20289 21332 27052 31998 36408 40578 42664 54104 63996 81156 127992 162312 197321 218653 250231 277283 394642 437306 500462 554566 591963 655959 750693 789284 831849 874612 1000924 1109132 1183926 1311918 1501386 1578568 1663698 1749224 2001848 2218264 2367852 2623836 3002772 3327396 4735704 5247672 6005544 6654792 8090161 10259471 16180322 20518942 24270483 30778413 32360644 36067079 41037884 48540966 61556826 64721288 72134158 82075768 97081932 108201237 123113652 144268316 194163864 216402474 246227304 288536632 432804948 865609896 1334481923 1478750239 2668963846 2957500478 4003445769 4436250717 5337927692 5915000956 8006891538 8872501434 10675855384 11830001912 16013783076 17745002868 32027566152 35490005736 54713758843 109427517686 164141276529 218855035372 328282553058 437710070744 656565106116 1313130212232