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10022021100201 = 31117122314607167
BaseRepresentation
bin1001000111010110111100…
…0000011111001010101001
31022111002120212211001100010
42101311233000133022221
52303200044400201301
633152015233402133
72053032011533515
oct221655700371251
938432525731303
1010022021100201
113214351701590
12115a402709349
135790c3487626
142690d5a03145
15125a6833d5d6
hex91d6f01f2a9

10022021100201 has 32 divisors (see below), whose sum is σ = 15447606018048. Its totient is φ = 5711986192640.

The previous prime is 10022021100097. The next prime is 10022021100313. The reversal of 10022021100201 is 10200112022001.

10022021100201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10022021100201 - 218 = 10022020838057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10022021100701) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6617481 + ... + 7989686.

It is an arithmetic number, because the mean of its divisors is an integer number (482737688064).

Almost surely, 210022021100201 is an apocalyptic number.

10022021100201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10022021100201 is a deficient number, since it is larger than the sum of its proper divisors (5425584917847).

10022021100201 is a wasteful number, since it uses less digits than its factorization.

10022021100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14608421.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10022021100201 its reverse (10200112022001), we get a palindrome (20222133122202).

The spelling of 10022021100201 in words is "ten trillion, twenty-two billion, twenty-one million, one hundred thousand, two hundred one".

Divisors: 1 3 11 17 33 51 187 561 1223 3669 13453 20791 40359 62373 228701 686103 14607167 43821501 160678837 248321839 482036511 744965517 2731540229 8194620687 17864565241 53593695723 196510217651 303697609097 589530652953 911092827291 3340673700067 10022021100201