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10001122220091 = 3193753139643697
BaseRepresentation
bin1001000110001001000101…
…0101100101100000111011
31022102002122101212221101110
42101202101111211200323
52302324244242020331
633134241354051403
72051362063144062
oct221422125454073
938362571787343
1010001122220091
1132064a7845642
12115634b719b63
135771427b8c92
142680b21b31d9
15125243717946
hex9189156583b

10001122220091 has 64 divisors (see below), whose sum is σ = 14793724915200. Its totient is φ = 5986434594816.

The previous prime is 10001122220057. The next prime is 10001122220101. The reversal of 10001122220091 is 19002222110001.

It is not a de Polignac number, because 10001122220091 - 226 = 10001055111227 is a prime.

It is a super-2 number, since 2×100011222200912 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10001122220051) 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 63 ways as a sum of consecutive naturals, for example, 15215155 + ... + 15858851.

It is an arithmetic number, because the mean of its divisors is an integer number (231151951800).

Almost surely, 210001122220091 is an apocalyptic number.

10001122220091 is a deficient number, since it is larger than the sum of its proper divisors (4792602695109).

10001122220091 is a wasteful number, since it uses less digits than its factorization.

10001122220091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643948.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 10001122220091 its reverse (19002222110001), we get a palindrome (29003344330092).

The spelling of 10001122220091 in words is "ten trillion, one billion, one hundred twenty-two million, two hundred twenty thousand, ninety-one".

Divisors: 1 3 19 37 53 57 111 139 159 417 703 1007 1961 2109 2641 3021 5143 5883 7367 7923 15429 22101 37259 97717 111777 139973 272579 293151 419919 643697 817737 1931091 5179001 12230243 15537003 23816789 34115941 36690729 71450367 89473883 102347823 268421649 452518991 648202879 1262289817 1357556973 1700003777 1944608637 3310533671 3786869451 4742115799 5100011331 9931601013 14226347397 23983506523 62900139749 71950519569 90100200181 175458284563 188700419247 270300600543 526374853689 3333707406697 10001122220091