Search a number
-
+
1123244010 = 23457397499
BaseRepresentation
bin100001011110011…
…0101011111101010
32220021120201010000
41002330311133222
54300022302020
6303243003430
736556262610
oct10274653752
92807521100
101123244010
11527050939
12274209576
1314b92b835
14a926d6b0
1568928090
hex42f357ea

1123244010 has 160 divisors (see below), whose sum is σ = 3467376000. Its totient is φ = 255581568.

The previous prime is 1123243997. The next prime is 1123244011. The reversal of 1123244010 is 104423211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1123244011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2250741 + ... + 2251239.

It is an arithmetic number, because the mean of its divisors is an integer number (21671100).

Almost surely, 21123244010 is an apocalyptic number.

1123244010 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 1123244010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733688000).

1123244010 is an abundant number, since it is smaller than the sum of its proper divisors (2344131990).

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

1123244010 is a wasteful number, since it uses less digits than its factorization.

1123244010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1123244010 is about 33514.8326864390. The cubic root of 1123244010 is about 1039.5005028639.

Adding to 1123244010 its reverse (104423211), we get a palindrome (1227667221).

The spelling of 1123244010 in words is "one billion, one hundred twenty-three million, two hundred forty-four thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 397 405 499 567 630 794 810 945 998 1134 1191 1497 1890 1985 2382 2495 2779 2835 2994 3493 3573 3970 4491 4990 5558 5670 5955 6986 7146 7485 8337 8982 10479 10719 11910 13473 13895 14970 16674 17465 17865 20958 21438 22455 25011 26946 27790 31437 32157 34930 35730 40419 41685 44910 50022 52395 53595 62874 64314 67365 75033 80838 83370 94311 104790 107190 125055 134730 150066 157185 160785 188622 198103 202095 225099 250110 282933 314370 321570 375165 396206 404190 450198 471555 565866 594309 750330 943110 990515 1125495 1188618 1386721 1414665 1782927 1981030 2250990 2773442 2829330 2971545 3565854 4160163 5348781 5943090 6933605 8320326 8914635 10697562 12480489 13867210 16046343 17829270 20800815 24960978 26743905 32092686 37441467 41601630 53487810 62402445 74882934 80231715 112324401 124804890 160463430 187207335 224648802 374414670 561622005 1123244010