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11000220120021 = 3115991621343303
BaseRepresentation
bin1010000000010011000000…
…1101100111001111010101
31102221121111020211221012210
42200010300031213033111
52420211422322320041
635221233101304033
72213511465156546
oct240046015471725
942847436757183
1011000220120021
113561192534390
121297abb565019
1361a415c042a2
142a05b08b44cd
1514121ab8a016
hexa01303673d5

11000220120021 has 32 divisors (see below), whose sum is σ = 16036965734400. Its totient is φ = 6651544910400.

The previous prime is 11000220119983. The next prime is 11000220120041. The reversal of 11000220120021 is 12002102200011.

It is not a de Polignac number, because 11000220120021 - 27 = 11000220119893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11000220119979 and 11000220120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000220120041) 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 31 ways as a sum of consecutive naturals, for example, 31870656 + ... + 32213958.

It is an arithmetic number, because the mean of its divisors is an integer number (501155179200).

Almost surely, 211000220120021 is an apocalyptic number.

11000220120021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11000220120021 is a deficient number, since it is larger than the sum of its proper divisors (5036745614379).

11000220120021 is a wasteful number, since it uses less digits than its factorization.

11000220120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345537.

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

Adding to 11000220120021 its reverse (12002102200011), we get a palindrome (23002322320032).

The spelling of 11000220120021 in words is "eleven trillion, two hundred twenty million, one hundred twenty thousand, twenty-one".

Divisors: 1 3 11 33 599 1621 1797 4863 6589 17831 19767 53493 343303 970979 1029909 2912937 3776333 10680769 11328999 32042307 205638497 556494163 616915491 1669482489 2262023467 6121435793 6786070401 18364307379 333340003637 1000020010911 3666740040007 11000220120021