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2122011200020 = 225153073693137
BaseRepresentation
bin11110111000010001101…
…110010100101000010100
321111212021121110000020011
4132320101232110220110
5234231334331400040
64302501040250004
7306211262410255
oct36702156245024
97455247400204
102122011200020
11748a38002288
122a3315310904
1312514931790a
14749c4d68b2c
153a2e98093ea
hex1ee11b94a14

2122011200020 has 24 divisors (see below), whose sum is σ = 4456259060904. Its totient is φ = 848797710336.

The previous prime is 2122011200003. The next prime is 2122011200027. The reversal of 2122011200020 is 200021102212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 331301545744 + 1790709654276 = 575588^2 + 1338174^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122011200027) 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 7 ways as a sum of consecutive naturals, for example, 2714892 + ... + 3408028.

It is an arithmetic number, because the mean of its divisors is an integer number (185677460871).

Almost surely, 22122011200020 is an apocalyptic number.

2122011200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122011200020 is an abundant number, since it is smaller than the sum of its proper divisors (2334247860884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2122011200020 is a wasteful number, since it uses less digits than its factorization.

2122011200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846219 (or 846217 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2122011200020 its reverse (200021102212), we get a palindrome (2322032302232).

The spelling of 2122011200020 in words is "two trillion, one hundred twenty-two billion, eleven million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 153073 306146 612292 693137 765365 1386274 1530730 2772548 3061460 3465685 6931370 13862740 106100560001 212201120002 424402240004 530502800005 1061005600010 2122011200020