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10112420024421 = 31113127467339719
BaseRepresentation
bin1001001100100111101100…
…1101000001000001100101
31022210201220221100012121120
42103021323031001001211
52311140214011240141
633301325344204153
72062412123651451
oct223117315010145
938721827305546
1010112420024421
113249720523310
121173a31009659
1358479bb32630
1426d62d8a5661
151280a9719c66
hex9327b341065

10112420024421 has 64 divisors (see below), whose sum is σ = 15968980500480. Its totient is φ = 5611409879040.

The previous prime is 10112420024387. The next prime is 10112420024423. The reversal of 10112420024421 is 12442002421101.

It is a happy number.

It is not a de Polignac number, because 10112420024421 - 213 = 10112420016229 is a prime.

It is a super-2 number, since 2×101124200244212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10112420024391 and 10112420024400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112420024423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 254579200 + ... + 254618918.

It is an arithmetic number, because the mean of its divisors is an integer number (249515320320).

Almost surely, 210112420024421 is an apocalyptic number.

10112420024421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10112420024421 is a deficient number, since it is larger than the sum of its proper divisors (5856560476059).

10112420024421 is a wasteful number, since it uses less digits than its factorization.

10112420024421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44546.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10112420024421 its reverse (12442002421101), we get a palindrome (22554422445522).

The spelling of 10112420024421 in words is "ten trillion, one hundred twelve billion, four hundred twenty million, twenty-four thousand, four hundred twenty-one".

Divisors: 1 3 11 13 33 39 127 143 381 429 1397 1651 4191 4673 4953 14019 18161 39719 51403 54483 60749 119157 154209 182247 436909 516347 593471 668239 1310727 1549041 1780413 2004717 5044313 5679817 6528181 7715123 15132939 17039451 19584543 23145369 55487443 65576069 84866353 166462329 185606887 196728207 254599059 556820661 721336759 2041675757 2164010277 2412889531 6125027271 7238668593 23572074649 26541784841 70716223947 79625354523 259292821139 306436970437 777878463417 919310911311 3370806674807 10112420024421