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10022001210221 = 7111325332174517
BaseRepresentation
bin1001000111010110110111…
…0100100111001101101101
31022111002112111101112102012
42101311231310213031231
52303200024302211341
633152013243211005
72053031350503320
oct221655564471555
938432474345365
1010022001210221
113214341456990
12115a3b7b16a65
135790bc312300
142690d31067b7
15125a667100eb
hex91d6dd2736d

10022001210221 has 96 divisors (see below), whose sum is σ = 13792670108928. Its totient is φ = 7068856504320.

The previous prime is 10022001210217. The next prime is 10022001210229. The reversal of 10022001210221 is 12201210022001.

It is not a de Polignac number, because 10022001210221 - 22 = 10022001210217 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10022001210196 and 10022001210205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022001210229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2218727255 + ... + 2218731771.

It is an arithmetic number, because the mean of its divisors is an integer number (143673646968).

Almost surely, 210022001210221 is an apocalyptic number.

10022001210221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10022001210221 is a deficient number, since it is larger than the sum of its proper divisors (3770668898707).

10022001210221 is a wasteful number, since it uses less digits than its factorization.

10022001210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7831 (or 7818 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10022001210221 its reverse (12201210022001), we get a palindrome (22223211232222).

The spelling of 10022001210221 in words is "ten trillion, twenty-two billion, one million, two hundred ten thousand, two hundred twenty-one".

Divisors: 1 7 11 13 53 77 91 143 169 371 583 689 1001 1183 1859 3217 4081 4517 4823 7579 8957 13013 22519 31619 35387 41821 49687 53053 58721 62699 98527 170501 239401 247709 292747 347809 411047 460031 543673 645931 689689 763373 1193507 1675807 1875511 2216513 2633411 3112213 3220217 3805711 4521517 5343611 5980403 8397103 13128577 14531189 15515591 18433877 21785491 24381643 28814669 34234343 40458769 41862821 58779721 101718323 159843079 170671501 188905457 201702683 239640401 283211383 316961359 445046459 770153017 1118901553 1322338199 2077960027 2218729513 2455770941 3115325213 5391071119 8471683187 10011989221 14545720189 17190396587 27013480351 59301782309 70083924547 110131881431 130155859873 189094362457 770923170017 911091019111 1431714458603 10022001210221