Search a number
-
+
10244312112210 = 23511371385960539
BaseRepresentation
bin1001010100010011000010…
…0101011001110001010010
31100021100100201120110201220
42111010300211121301102
52320320322400042320
633442101053305510
72105061414132651
oct225046045316122
940240321513656
1010244312112210
11329a652133a60
1211954bb495296
1359405a9ca527
14275b82379198
1512b728726e40
hex95130959c52

10244312112210 has 128 divisors (see below), whose sum is σ = 27548819020800. Its totient is φ = 2416134539520.

The previous prime is 10244312112187. The next prime is 10244312112211. The reversal of 10244312112210 is 1221121344201.

It is not an unprimeable number, because it can be changed into a prime (10244312112211) 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, 169188121 + ... + 169248659.

It is an arithmetic number, because the mean of its divisors is an integer number (215225148600).

Almost surely, 210244312112210 is an apocalyptic number.

10244312112210 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 10244312112210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13774409510400).

10244312112210 is an abundant number, since it is smaller than the sum of its proper divisors (17304506908590).

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

10244312112210 is a wasteful number, since it uses less digits than its factorization.

10244312112210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74456.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10244312112210 its reverse (1221121344201), we get a palindrome (11465433456411).

The spelling of 10244312112210 in words is "ten trillion, two hundred forty-four billion, three hundred twelve million, one hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 4070 6105 12210 13859 27718 41577 60539 69295 83154 121078 138590 152449 181617 207885 302695 304898 363234 415770 457347 512783 605390 665929 762245 908085 914694 1025566 1331858 1524490 1538349 1816170 1997787 2239943 2286735 2563915 3076698 3329645 3995574 4479886 4573470 5127830 5640613 6659290 6719829 7691745 9988935 11199715 11281226 13439658 15383490 16921839 19977870 22399430 24639373 28203065 33599145 33843678 49278746 56406130 67198290 73918119 84609195 123196865 147836238 169218390 246393730 369590595 739181190 839010001 1678020002 2517030003 4195050005 5034060006 8390100010 9229110011 12585150015 18458220022 25170300030 27687330033 31043370037 46145550055 55374660066 62086740074 92291100110 93130110111 138436650165 155216850185 186260220222 276873300330 310433700370 341477070407 465650550555 682954140814 931301101110 1024431211221 1707385352035 2048862422442 3414770704070 5122156056105 10244312112210