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10014431231020 = 2251725101339659
BaseRepresentation
bin1001000110111010101010…
…0111011011110000101100
31022110100222221010202011011
42101232222213123300230
52303034023343343040
633144322144235004
72052342640651156
oct221565247336054
938410887122134
1010014431231020
113211107399527
121158a4490ba64
13578483bc2088
142689b59b9ad6
15125771d583ea
hex91baa9dbc2c

10014431231020 has 72 divisors (see below), whose sum is σ = 22344596956080. Its totient is φ = 3769388620800.

The previous prime is 10014431230939. The next prime is 10014431231023. The reversal of 10014431231020 is 2013213441001.

It is a super-2 number, since 2×100144312310202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10014431230982 and 10014431231000.

It is not an unprimeable number, because it can be changed into a prime (10014431231023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29313951 + ... + 29653609.

It is an arithmetic number, because the mean of its divisors is an integer number (310341624390).

Almost surely, 210014431231020 is an apocalyptic number.

10014431231020 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 10014431231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11172298478040).

10014431231020 is an abundant number, since it is smaller than the sum of its proper divisors (12330165725060).

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

10014431231020 is a wasteful number, since it uses less digits than its factorization.

10014431231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344803 (or 344784 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10014431231020 its reverse (2013213441001), we get a palindrome (12027644672021).

The spelling of 10014431231020 in words is "ten trillion, fourteen billion, four hundred thirty-one million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5101 5780 10202 20404 25505 51010 86717 102020 173434 339659 346868 433585 679318 867170 1358636 1474189 1698295 1734340 2948378 3396590 5774203 5896756 6793180 7370945 11548406 14741890 23096812 28871015 29483780 57742030 98161451 115484060 196322902 392645804 490807255 981614510 1732600559 1963229020 3465201118 6930402236 8663002795 17326005590 29454209503 34652011180 58908419006 117816838012 147271047515 294542095030 500721561551 589084190060 1001443123102 2002886246204 2503607807755 5007215615510 10014431231020