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10022230131199 = 11132371011442653
BaseRepresentation
bin1001000111010111101101…
…1101111000000111111111
31022111010010110010220221221
42101311323131320013333
52303201011403144244
633152052101534211
72053040130343366
oct221657335700777
938433113126857
1010022230131199
1132144496a2680
12115a460714367
13579127884400
142691156967dd
15125a7b87d784
hex91d7b7781ff

10022230131199 has 48 divisors (see below), whose sum is σ = 12279432281184. Its totient is φ = 8101933632000.

The previous prime is 10022230131187. The next prime is 10022230131203. The reversal of 10022230131199 is 99113103222001.

It is not a de Polignac number, because 10022230131199 - 27 = 10022230131071 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022230131139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6225757 + ... + 7668409.

It is an arithmetic number, because the mean of its divisors is an integer number (255821505858).

Almost surely, 210022230131199 is an apocalyptic number.

10022230131199 is a deficient number, since it is larger than the sum of its proper divisors (2257202149985).

10022230131199 is a wasteful number, since it uses less digits than its factorization.

10022230131199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442828 (or 1442815 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The spelling of 10022230131199 in words is "ten trillion, twenty-two billion, two hundred thirty million, one hundred thirty-one thousand, one hundred ninety-nine".

Divisors: 1 11 13 37 101 143 169 407 481 1111 1313 1859 3737 5291 6253 14443 17069 41107 48581 68783 187759 534391 631553 1442653 6947083 15869183 18754489 53378161 145707953 206299379 243808357 587159771 693916093 1602787483 1894203389 2681891927 5391194261 7633077023 9020909209 20836237279 24624644057 59303136871 70085525393 99230001299 270871084627 770940779323 911111830109 10022230131199