Search a number
-
+
11001222002221 = 1121753101999101
BaseRepresentation
bin1010000000010110101111…
…1011011111011000101101
31102221201002002001211012221
42200011223323133120231
52420221000313032341
635221520331155341
72213545352060113
oct240055373373055
942851062054187
1011001222002221
113561657023300
12129813aba5b51
1361a5456500a9
142a0667991ab3
15141278added1
hexa016bedf62d

11001222002221 has 48 divisors (see below), whose sum is σ = 13174310835504. Its totient is φ = 9143763200000.

The previous prime is 11001222002191. The next prime is 11001222002279. The reversal of 11001222002221 is 12220022210011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2006387260900 + 8994834741321 = 1416470^2 + 2999139^2 .

It is not a de Polignac number, because 11001222002221 - 213 = 11001221994029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11001222002195 and 11001222002204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001222062221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10511571 + ... + 11510671.

It is an arithmetic number, because the mean of its divisors is an integer number (274464809073).

Almost surely, 211001222002221 is an apocalyptic number.

11001222002221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11001222002221 is a deficient number, since it is larger than the sum of its proper divisors (2173088833283).

11001222002221 is a wasteful number, since it uses less digits than its factorization.

11001222002221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999294 (or 999283 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11001222002221 its reverse (12220022210011), we get a palindrome (23221244212232).

The spelling of 11001222002221 in words is "eleven trillion, one billion, two hundred twenty-two million, two thousand, two hundred twenty-one".

Divisors: 1 11 17 53 101 121 187 583 901 1111 1717 2057 5353 6413 9911 12221 18887 58883 91001 109021 207757 647713 999101 1001011 10990111 11011121 16984717 52952353 100909201 120891221 186831887 582475883 900190001 1110001211 1715456417 2055150757 5348187653 6407234713 9902090011 12210013321 18870020587 58830064183 90919190101 108922990121 207570226457 647130706013 1000111091111 11001222002221