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11141244030 = 2357713831951
BaseRepresentation
bin10100110000001000…
…11110010001111110
31001202110012211121210
422120010132101332
5140304124302110
65041311305250
7543043004010
oct123004362176
931673184553
1011141244030
1147a7a3a5a4
1221ab21b226
13108727bcb7
1477995a1b0
1545318e520
hex29811e47e

11141244030 has 128 divisors (see below), whose sum is σ = 31086084096. Its totient is φ = 2502864000.

The previous prime is 11141244017. The next prime is 11141244031. The reversal of 11141244030 is 3044214111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11141243988 and 11141244006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11141244031) 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, 5709555 + ... + 5711505.

It is an arithmetic number, because the mean of its divisors is an integer number (242860032).

Almost surely, 211141244030 is an apocalyptic number.

11141244030 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 11141244030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15543042048).

11141244030 is an abundant number, since it is smaller than the sum of its proper divisors (19944840066).

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

11141244030 is a wasteful number, since it uses less digits than its factorization.

11141244030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11141244030 its reverse (3044214111), we get a palindrome (14185458141).

The spelling of 11141244030 in words is "eleven billion, one hundred forty-one million, two hundred forty-four thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 71 105 142 210 213 355 383 426 497 710 766 994 1065 1149 1491 1915 1951 2130 2298 2485 2681 2982 3830 3902 4970 5362 5745 5853 7455 8043 9755 11490 11706 13405 13657 14910 16086 19510 26810 27193 27314 29265 40215 40971 54386 58530 68285 80430 81579 81942 135965 136570 138521 163158 190351 204855 271930 277042 380702 407895 409710 415563 571053 692605 747233 815790 831126 951755 969647 1142106 1385210 1494466 1903510 1939294 2077815 2241699 2855265 2908941 3736165 4155630 4483398 4848235 5230631 5710530 5817882 7472330 9696470 10461262 11208495 14544705 15691893 22416990 26153155 29089410 31383786 52306310 53053543 78459465 106107086 156918930 159160629 265267715 318321258 371374801 530535430 742749602 795803145 1114124403 1591606290 1856874005 2228248806 3713748010 5570622015 11141244030