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2200021100001 = 34193317443941
BaseRepresentation
bin100000000000111011011…
…110011110010111100001
321210022122020211112020000
4200000323132132113201
5242021120400200001
64402401543210213
7314642400542064
oct40007336362741
97708566745200
102200021100001
117790296137aa
122b6466746969
1312c5cc06054a
14786a56a48db
153c36321da86
hex2003b79e5e1

2200021100001 has 40 divisors (see below), whose sum is σ = 3313908053544. Its totient is φ = 1454475294720.

The previous prime is 2200021099963. The next prime is 2200021100027. The reversal of 2200021100001 is 1000011200022.

It can be written as a sum of positive squares in 4 ways, for example, as 268132374225 + 1931888725776 = 517815^2 + 1389924^2 .

It is not a de Polignac number, because 2200021100001 - 29 = 2200021099489 is a prime.

It is a super-2 number, since 2×22000211000012 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2200021100201) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4733691 + ... + 5177631.

Almost surely, 22200021100001 is an apocalyptic number.

It is an amenable number.

2200021100001 is a deficient number, since it is larger than the sum of its proper divisors (1113886953543).

2200021100001 is a wasteful number, since it uses less digits than its factorization.

2200021100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444463 (or 444454 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2200021100001 its reverse (1000011200022), we get a palindrome (3200032300023).

The spelling of 2200021100001 in words is "two trillion, two hundred billion, twenty-one million, one hundred thousand, one".

Divisors: 1 3 9 27 81 193 317 579 951 1737 2853 5211 8559 15633 25677 61181 183543 443941 550629 1331823 1651887 3995469 4955661 11986407 35959221 85680613 140729297 257041839 422187891 771125517 1266563673 2313376551 3799691019 6940129653 11399073057 27160754321 81482262963 244446788889 733340366667 2200021100001