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101323034324240 = 2454198130169313
BaseRepresentation
bin10111000010011100011011…
…011101111110110100010000
3111021202101110110210220002212
4113002130123131332310100
5101240034033241333430
6555255054231531252
730225230150302121
oct2702343335766420
9437671413726085
10101323034324240
112a314948432073
12b4450bb229b28
13446c94b459831
141b040bd662048
15baa9a0a34b95
hex5c271b77ed10

101323034324240 has 40 divisors (see below), whose sum is σ = 235581674104728. Its totient is φ = 40528246968320.

The previous prime is 101323034324233. The next prime is 101323034324363. The reversal of 101323034324240 is 42423430323101.

It can be written as a sum of positive squares in 4 ways, for example, as 5486687847424 + 95836346476816 = 2342368^2 + 9789604^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1013230343242402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101323034324197 and 101323034324206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11726177 + ... + 18443136.

Almost surely, 2101323034324240 is an apocalyptic number.

101323034324240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101323034324240 is an abundant number, since it is smaller than the sum of its proper divisors (134258639780488).

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

101323034324240 is a wasteful number, since it uses less digits than its factorization.

101323034324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30211307 (or 30211301 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 101323034324240 its reverse (42423430323101), we get a palindrome (143746464647341).

The spelling of 101323034324240 in words is "one hundred one trillion, three hundred twenty-three billion, thirty-four million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 41981 83962 167924 209905 335848 419810 671696 839620 1679240 3358480 30169313 60338626 120677252 150846565 241354504 301693130 482709008 603386260 1206772520 2413545040 1266537929053 2533075858106 5066151716212 6332689645265 10132303432424 12665379290530 20264606864848 25330758581060 50661517162120 101323034324240