Search a number
-
+
10022001110121 = 37111331107655797
BaseRepresentation
bin1001000111010110110111…
…0100001110110001101001
31022111002112111012110002210
42101311231310032301221
52303200024241010441
633152013241115333
72053031346605430
oct221655564166151
938432474173083
1010022001110121
113214341398760
12115a3b7a88b49
135790bc2a8890
142690d30bc117
15125a666e0616
hex91d6dd0ec69

10022001110121 has 64 divisors (see below), whose sum is σ = 18520242241536. Its totient is φ = 4650730387200.

The previous prime is 10022001110111. The next prime is 10022001110189. The reversal of 10022001110121 is 12101110022001.

It is not a de Polignac number, because 10022001110121 - 27 = 10022001109993 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10022001110097 and 10022001110106.

It is not an unprimeable number, because it can be changed into a prime (10022001110111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53734806 + ... + 53920991.

It is an arithmetic number, because the mean of its divisors is an integer number (289378785024).

Almost surely, 210022001110121 is an apocalyptic number.

10022001110121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10022001110121 is a deficient number, since it is larger than the sum of its proper divisors (8498241131415).

10022001110121 is a wasteful number, since it uses less digits than its factorization.

10022001110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107655862.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10022001110121 its reverse (12101110022001), we get a palindrome (22123111132122).

The spelling of 10022001110121 in words is "ten trillion, twenty-two billion, one million, one hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 7 11 13 21 31 33 39 77 91 93 143 217 231 273 341 403 429 651 1001 1023 1209 2387 2821 3003 4433 7161 8463 13299 31031 93093 107655797 322967391 753590579 1184213767 1399525361 2260771737 3337329707 3552641301 4198576083 8289496369 9796677527 10011989121 15394778971 23361307949 24868489107 29390032581 36710626777 43385286191 46184336913 70083923847 107763452797 110131880331 130155858573 256974387439 303697003337 323290358391 477238148101 770923162317 911091010011 1431714444303 3340667036707 10022001110121