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10142112001322 = 273731439140741
BaseRepresentation
bin1001001110010110010011…
…1110111010110100101010
31022220120120020000220201202
42103211210332322310222
52312132021133020242
633323115534244202
72064512663414000
oct223454476726452
938816506026652
1010142112001322
113260277902aa4
121179738956662
1358752144ab32
14270c4904ca70
15128c4629c932
hex93964fbad2a

10142112001322 has 64 divisors (see below), whose sum is σ = 17996961024000. Its totient is φ = 4284067052160.

The previous prime is 10142112001243. The next prime is 10142112001361. The reversal of 10142112001322 is 22310021124101.

It is a junction number, because it is equal to n+sod(n) for n = 10142112001294 and 10142112001303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71991872 + ... + 72132612.

It is an arithmetic number, because the mean of its divisors is an integer number (281202516000).

Almost surely, 210142112001322 is an apocalyptic number.

10142112001322 is a deficient number, since it is larger than the sum of its proper divisors (7854849022678).

10142112001322 is a wasteful number, since it uses less digits than its factorization.

10142112001322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142276 (or 142262 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10142112001322 its reverse (22310021124101), we get a palindrome (32452133125423).

The spelling of 10142112001322 in words is "ten trillion, one hundred forty-two billion, one hundred twelve million, one thousand, three hundred twenty-two".

Divisors: 1 2 7 14 49 73 98 146 343 511 686 1022 1439 2878 3577 7154 10073 20146 25039 50078 70511 105047 140741 141022 210094 281482 493577 735329 985187 987154 1470658 1970374 5147303 6896309 10274093 10294606 13792618 20548186 36031121 48274163 71918651 72062242 96548326 143837302 202526299 405052598 503430557 1006861114 1417684093 2835368186 3524013899 7048027798 9923788651 14784419827 19847577302 29568839654 69466520557 103490938789 138933041114 206981877578 724436571523 1448873143046 5071056000661 10142112001322