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131022221302110 = 23531594794985107
BaseRepresentation
bin11101110010100111111100…
…111101010101100101011110
3122011220121020212201211011010
4131302213330331111211132
5114133132002123131420
61142354435540040050
736412020533335035
oct3562477475254536
9564817225654133
10131022221302110
1138825237201306
1212840b98993026
13581545b4a7ca8
14244d71b91171c
1510232c6aa44e0
hex7729fcf5595e

131022221302110 has 128 divisors (see below), whose sum is σ = 330787838361600. Its totient is φ = 33169698898560.

The previous prime is 131022221302033. The next prime is 131022221302111. The reversal of 131022221302110 is 11203122220131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131022221302111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23790177 + ... + 28775283.

It is an arithmetic number, because the mean of its divisors is an integer number (2584279987200).

Almost surely, 2131022221302110 is an apocalyptic number.

131022221302110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131022221302110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165393919180800).

131022221302110 is an abundant number, since it is smaller than the sum of its proper divisors (199765617059490).

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

131022221302110 is a wasteful number, since it uses less digits than its factorization.

131022221302110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4985686.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 131022221302110 its reverse (11203122220131), we get a palindrome (142225343522241).

The spelling of 131022221302110 in words is "one hundred thirty-one trillion, twenty-two billion, two hundred twenty-one million, three hundred two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 59 62 93 118 155 177 186 295 310 354 465 479 590 885 930 958 1437 1770 1829 2395 2874 3658 4790 5487 7185 9145 10974 14370 14849 18290 27435 28261 29698 44547 54870 56522 74245 84783 89094 141305 148490 169566 222735 282610 423915 445470 847830 876091 1752182 2628273 4380455 4985107 5256546 8760910 9970214 13141365 14955321 24925535 26282730 29910642 49851070 74776605 149553210 154538317 294121313 309076634 463614951 588242626 772691585 882363939 927229902 1470606565 1545383170 1764727878 2318074755 2387866253 2941213130 4411819695 4636149510 4775732506 7163598759 8823639390 9117760703 11939331265 14327197518 18235521406 23878662530 27353282109 35817993795 45588803515 54706564218 71635987590 74023853843 91177607030 136766410545 140884108927 148047707686 222071561529 273532821090 281768217854 370119269215 422652326781 444143123058 704420544635 740238538430 845304653562 1110357807645 1408841089270 2113261633905 2220715615290 4226523267810 4367407376737 8734814753474 13102222130211 21837036883685 26204444260422 43674073767370 65511110651055 131022221302110