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10022001012001 = 11532714568269
BaseRepresentation
bin1001000111010110110111…
…0011110110110100100001
31022111002112111000110111201
42101311231303312310201
52303200024224341001
633152013235041201
72053031346016366
oct221655563666441
938432474013451
1010022001012001
113214341330a70
12115a3b7a40201
135790bc273014
142690d309446d
15125a666c1501
hex91d6dcf6d21

10022001012001 has 24 divisors (see below), whose sum is σ = 11300218856640. Its totient is φ = 8813102625600.

The previous prime is 10022001011999. The next prime is 10022001012031. The reversal of 10022001012001 is 10021010022001.

It is not a de Polignac number, because 10022001012001 - 21 = 10022001011999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10022001012031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90306 + ... + 4477963.

It is an arithmetic number, because the mean of its divisors is an integer number (470842452360).

Almost surely, 210022001012001 is an apocalyptic number.

10022001012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10022001012001 is a deficient number, since it is larger than the sum of its proper divisors (1278217844639).

10022001012001 is an equidigital number, since it uses as much as digits as its factorization.

10022001012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4568457 (or 4568404 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10022001012001 its reverse (10021010022001), we get a palindrome (20043011034002).

The spelling of 10022001012001 in words is "ten trillion, twenty-two billion, one million, twelve thousand, one".

Divisors: 1 11 53 71 583 781 2809 3763 30899 41393 199439 2193829 4568269 50250959 242118257 324347099 2663300827 3567818089 12832267621 17190396247 141154943831 189094358717 911091001091 10022001012001