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11010340421540 = 22517569194929201
BaseRepresentation
bin1010000000111000101101…
…1011011111111110100100
31102222120121112222111222222
42200032023123133332210
52420343134121442130
635230025222411512
72214320333260025
oct240161333377644
942876545874888
1011010340421540
113565506146739
121299a64890b98
1361b3697c2995
142a0c909d0c4c
1514160e3acce5
hexa038b6dffa4

11010340421540 has 96 divisors (see below), whose sum is σ = 24538265388000. Its totient is φ = 4135519846400.

The previous prime is 11010340421519. The next prime is 11010340421543. The reversal of 11010340421540 is 4512404301011.

It can be written as a sum of positive squares in 16 ways, for example, as 1912600489024 + 9097739932516 = 1382968^2 + 3016246^2 .

It is not an unprimeable number, because it can be changed into a prime (11010340421543) 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, 377038940 + ... + 377068140.

It is an arithmetic number, because the mean of its divisors is an integer number (255606931125).

Almost surely, 211010340421540 is an apocalyptic number.

11010340421540 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 11010340421540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12269132694000).

11010340421540 is an abundant number, since it is smaller than the sum of its proper divisors (13527924966460).

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

11010340421540 is a wasteful number, since it uses less digits than its factorization.

11010340421540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31745 (or 31743 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 11010340421540 its reverse (4512404301011), we get a palindrome (15522744722551).

The spelling of 11010340421540 in words is "eleven trillion, ten billion, three hundred forty million, four hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 569 1138 1949 2276 2845 3898 5690 7796 9673 9745 11380 19346 19490 29201 33133 38692 38980 48365 58402 66266 96730 116804 132532 146005 165665 193460 292010 331330 496417 584020 662660 992834 1108981 1985668 2217962 2482085 4435924 4964170 5544905 9928340 11089810 16615369 18852677 22179620 33230738 37705354 56912749 66461476 75410708 83076845 94263385 113825498 166153690 188526770 227650996 282461273 284563745 332307380 377053540 564922546 569127490 967516733 1129845092 1138254980 1412306365 1935033466 2824612730 3870066932 4837583665 5649225460 9675167330 19350334660 32383354181 64766708362 129533416724 161916770905 323833541810 550517021077 647667083620 1101034042154 2202068084308 2752585105385 5505170210770 11010340421540