Search a number
-
+
1141010010 = 233575691061
BaseRepresentation
bin100010000000010…
…0110111001011010
32221112000022111000
41010000212321122
54314044310020
6305115445430
740163265540
oct10400467132
92845008430
101141010010
11536085788
1227a156876
1315250c16a
14ab775d90
156a287090
hex44026e5a

1141010010 has 128 divisors (see below), whose sum is σ = 3486758400. Its totient is φ = 260098560.

The previous prime is 1141010009. The next prime is 1141010041. The reversal of 1141010010 is 100101411.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1141009974 and 1141010001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1074880 + ... + 1075940.

It is an arithmetic number, because the mean of its divisors is an integer number (27240300).

Almost surely, 21141010010 is an apocalyptic number.

1141010010 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 1141010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743379200).

1141010010 is an abundant number, since it is smaller than the sum of its proper divisors (2345748390).

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

1141010010 is a wasteful number, since it uses less digits than its factorization.

1141010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1141010010 is about 33778.8396781180. The cubic root of 1141010010 is about 1044.9523447664.

Adding to 1141010010 its reverse (100101411), we get a palindrome (1241111421).

The spelling of 1141010010 in words is "one billion, one hundred forty-one million, ten thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 569 630 945 1061 1138 1707 1890 2122 2845 3183 3414 3983 5121 5305 5690 6366 7427 7966 8535 9549 10242 10610 11949 14854 15363 15915 17070 19098 19915 22281 23898 25605 28647 30726 31830 35847 37135 39830 44562 47745 51210 57294 59745 66843 71694 74270 76815 95490 107541 111405 119490 133686 143235 153630 179235 200529 215082 222810 286470 334215 358470 401058 537705 603709 668430 1002645 1075410 1207418 1811127 2005290 3018545 3622254 4225963 5433381 6037090 8451926 9055635 10866762 12677889 16300143 18111270 21129815 25355778 27166905 32600286 38033667 42259630 54333810 63389445 76067334 81500715 114101001 126778890 163001430 190168335 228202002 380336670 570505005 1141010010