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11244123310 = 2572941532549
BaseRepresentation
bin10100111100011001…
…11011010010101110
31002000121210122110111
422132030323102232
5141011443421220
65055424330234
7545432320420
oct123614732256
932017718414
1011244123310
1148500182a2
12221977397a
1310a2690204
1478949a810
1545c21215a
hex29e33b4ae

11244123310 has 128 divisors (see below), whose sum is σ = 24984288000. Its totient is φ = 3561492480.

The previous prime is 11244123307. The next prime is 11244123311. The reversal of 11244123310 is 1332144211.

It is a super-2 number, since 2×112441233102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11244123311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4409916 + ... + 4412464.

It is an arithmetic number, because the mean of its divisors is an integer number (195189750).

Almost surely, 211244123310 is an apocalyptic number.

11244123310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11244123310 is an abundant number, since it is smaller than the sum of its proper divisors (13740164690).

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

11244123310 is a wasteful number, since it uses less digits than its factorization.

11244123310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 11244123310 its reverse (1332144211), we get a palindrome (12576267521).

The spelling of 11244123310 in words is "eleven billion, two hundred forty-four million, one hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 29 35 41 53 58 70 82 106 145 203 205 265 287 290 371 406 410 530 574 742 1015 1189 1435 1537 1855 2030 2173 2378 2549 2870 3074 3710 4346 5098 5945 7685 8323 10759 10865 11890 12745 15211 15370 16646 17843 21518 21730 25490 30422 35686 41615 53795 63017 73921 76055 83230 89215 104509 107590 126034 135097 147842 152110 178430 209018 270194 315085 369605 441119 517447 522545 630170 675485 731563 739210 882238 945679 1034894 1045090 1350970 1463126 1891358 2205595 2587235 3030761 3657815 3917813 4411190 4728395 5174470 5538977 6061522 7315630 7835626 9456790 11077954 15153805 19589065 21215327 27424691 27694885 30307610 38772839 39178130 42430654 54849382 55389770 77545678 106076635 137123455 160630333 193864195 212153270 274246910 321260666 387728390 803151665 1124412331 1606303330 2248824662 5622061655 11244123310