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10042422322032 = 2432197354005299
BaseRepresentation
bin1001001000100010111100…
…0000111110001101110000
31022120001020200022111110200
42102020233000332031300
52304013340103301112
633205231454355200
72054353405211412
oct222105700761560
938501220274420
1010042422322032
113221a706604a1
121162356abbb00
1357acc5010a19
1426a0ad2ca9b2
1512635e40ecdc
hex9222f03e370

10042422322032 has 60 divisors (see below), whose sum is σ = 28247498908200. Its totient is φ = 3330481843584.

The previous prime is 10042422322019. The next prime is 10042422322039. The reversal of 10042422322032 is 23022322424001.

10042422322032 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 2 + 422 + 32 + 203 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10042422321987 and 10042422322005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042422322039) 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 11 ways as a sum of consecutive naturals, for example, 176974282 + ... + 177031017.

It is an arithmetic number, because the mean of its divisors is an integer number (470791648470).

Almost surely, 210042422322032 is an apocalyptic number.

10042422322032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10042422322032 is an abundant number, since it is smaller than the sum of its proper divisors (18205076586168).

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

10042422322032 is a wasteful number, since it uses less digits than its factorization.

10042422322032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354005510 (or 354005501 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10042422322032 its reverse (23022322424001), we get a palindrome (33064744746033).

The spelling of 10042422322032 in words is "ten trillion, forty-two billion, four hundred twenty-two million, three hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 197 394 591 788 1182 1576 1773 2364 3152 3546 4728 7092 9456 14184 28368 354005299 708010598 1062015897 1416021196 2124031794 2832042392 3186047691 4248063588 5664084784 6372095382 8496127176 12744190764 16992254352 25488381528 50976763056 69739043903 139478087806 209217131709 278956175612 418434263418 557912351224 627651395127 836868526836 1115824702448 1255302790254 1673737053672 2510605580508 3347474107344 5021211161016 10042422322032