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11241224540 = 22571314941453
BaseRepresentation
bin10100111100000011…
…10111100101011100
31002000102100101002122
422132001313211130
5141010223141130
65055242242112
7545365555250
oct123601674534
932012311078
1011241224540
114849418417
1222187b6338
1310a1bb6970
14788d44260
1545bd3d2e5
hex29e07795c

11241224540 has 96 divisors (see below), whose sum is σ = 29249942400. Its totient is φ = 3533700096.

The previous prime is 11241224537. The next prime is 11241224549. The reversal of 11241224540 is 4542214211.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11241224549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250454 + ... + 291906.

It is an arithmetic number, because the mean of its divisors is an integer number (304686900).

Almost surely, 211241224540 is an apocalyptic number.

11241224540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11241224540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14624971200).

11241224540 is an abundant number, since it is smaller than the sum of its proper divisors (18008717860).

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

11241224540 is a wasteful number, since it uses less digits than its factorization.

11241224540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41631 (or 41629 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 11241224540 its reverse (4542214211), we get a palindrome (15783438751).

The spelling of 11241224540 in words is "eleven billion, two hundred forty-one million, two hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 149 182 260 298 364 455 596 745 910 1043 1490 1820 1937 2086 2980 3874 4172 5215 7748 9685 10430 13559 19370 20860 27118 38740 41453 54236 67795 82906 135590 165812 207265 271180 290171 414530 538889 580342 829060 1077778 1160684 1450855 2155556 2694445 2901710 3772223 5388890 5803420 6176497 7544446 10777780 12352994 15088892 18861115 24705988 30882485 37722230 43235479 61764970 75444460 80294461 86470958 123529940 160588922 172941916 216177395 321177844 401472305 432354790 562061227 802944610 864709580 1124122454 1605889220 2248244908 2810306135 5620612270 11241224540