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20431420104 = 2335983263661
BaseRepresentation
bin10011000001110011…
…101011101011001000
31221201220022200101010
4103001303223223020
5313320420420404
613215220123520
71322211130314
oct230163535310
957656280333
1020431420104
118735005367
123b625365a0
131c07b9a6c4
14dbb708b44
157e8a89189
hex4c1cebac8

20431420104 has 128 divisors (see below), whose sum is σ = 52849843200. Its totient is φ = 6579260160.

The previous prime is 20431420049. The next prime is 20431420127. The reversal of 20431420104 is 40102413402.

It is a super-2 number, since 2×204314201042 (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 30909534 + ... + 30910194.

It is an arithmetic number, because the mean of its divisors is an integer number (412889400).

Almost surely, 220431420104 is an apocalyptic number.

20431420104 is a gapful number since it is divisible by the number (24) 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 20431420104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26424921600).

20431420104 is an abundant number, since it is smaller than the sum of its proper divisors (32418423096).

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

20431420104 is a wasteful number, since it uses less digits than its factorization.

20431420104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 20431420104 its reverse (40102413402), we get a palindrome (60533833506).

The spelling of 20431420104 in words is "twenty billion, four hundred thirty-one million, four hundred twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 59 83 118 166 177 236 249 263 332 354 472 498 526 661 664 708 789 996 1052 1322 1416 1578 1983 1992 2104 2644 3156 3966 4897 5288 6312 7932 9794 14691 15517 15864 19588 21829 29382 31034 38999 39176 43658 46551 54863 58764 62068 65487 77998 87316 93102 109726 116997 117528 124136 130974 155996 164589 173843 174632 186204 219452 233994 261948 311992 329178 347686 372408 438904 467988 521529 523896 658356 695372 935976 1043058 1287911 1316712 1390744 2086116 2575822 3236917 3863733 4172232 5151644 6473834 7727466 9710751 10256737 10303288 12947668 14428969 15454932 19421502 20513474 25895336 28857938 30770211 30909864 38843004 41026948 43286907 57715876 61540422 77686008 82053896 86573814 115431752 123080844 173147628 246161688 346295256 851309171 1702618342 2553927513 3405236684 5107855026 6810473368 10215710052 20431420104