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1241041011012 = 22321119337489449
BaseRepresentation
bin10010000011110011110…
…011110000000101000100
311101122100021121111010100
4102003303303300011010
5130313122444323022
62350043143524100
7155443103353245
oct22036363600504
94348307544110
101241041011012
1143936032a110
12180632159630
13900502361ca
14440d107accc
1522437ca51ac
hex120f3cf0144

1241041011012 has 144 divisors (see below), whose sum is σ = 3613080744000. Its totient is φ = 355221780480.

The previous prime is 1241041010999. The next prime is 1241041011037. The reversal of 1241041011012 is 2101101401421.

1241041011012 is a `hidden beast` number, since 1 + 241 + 0 + 410 + 1 + 1 + 0 + 12 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2290864 + ... + 2780312.

It is an arithmetic number, because the mean of its divisors is an integer number (25090838500).

Almost surely, 21241041011012 is an apocalyptic number.

1241041011012 is a gapful number since it is divisible by the number (12) 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 1241041011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806540372000).

1241041011012 is an abundant number, since it is smaller than the sum of its proper divisors (2372039732988).

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

1241041011012 is a wasteful number, since it uses less digits than its factorization.

1241041011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489826 (or 489821 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1241041011012 its reverse (2101101401421), we get a palindrome (3342142412433).

The spelling of 1241041011012 in words is "one trillion, two hundred forty-one billion, forty-one million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 337 342 396 418 627 674 684 836 1011 1254 1348 1881 2022 2508 3033 3707 3762 4044 6066 6403 7414 7524 11121 12132 12806 14828 19209 22242 25612 33363 38418 44484 57627 66726 70433 76836 115254 133452 140866 211299 230508 281732 422598 489449 633897 845196 978898 1267794 1468347 1957796 2535588 2936694 4405041 5383939 5873388 8810082 9299531 10767878 16151817 17620164 18599062 21535756 27898593 32303634 37198124 48455451 55797186 64607268 83695779 96910902 102294841 111594372 164944313 167391558 193821804 204589682 306884523 329888626 334783116 409179364 494832939 613769046 659777252 920653569 989665878 1227538092 1484498817 1814387443 1841307138 1979331756 2968997634 3133941947 3628774886 3682614276 5443162329 5937995268 6267883894 7257549772 9401825841 10886324658 12535767788 16329486987 18803651682 21772649316 28205477523 32658973974 34473361417 37607303364 56410955046 65317947948 68946722834 103420084251 112821910092 137893445668 206840168502 310260252753 413680337004 620520505506 1241041011012