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2221002220021 = 131722920384957
BaseRepresentation
bin100000010100011110000…
…011000110000111110101
321212022210110111212010021
4200110132003012013311
5242342103032020041
64420151521325141
7316314335244154
oct40243603060765
97768713455107
102221002220021
11786a15940812
122ba5411967b1
13131593a94970
14796d5dc159b
153cb9018bcd1
hex2051e0c61f5

2221002220021 has 24 divisors (see below), whose sum is σ = 2628436484520. Its totient is φ = 1863021898752.

The previous prime is 2221002220013. The next prime is 2221002220027. The reversal of 2221002220021 is 1200222001222.

It can be written as a sum of positive squares in 12 ways, for example, as 807507120996 + 1413495099025 = 898614^2 + 1188905^2 .

It is not a de Polignac number, because 2221002220021 - 23 = 2221002220013 is a prime.

It is a super-2 number, since 2×22210022200212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2221002219977 and 2221002220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221002220027) 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, 10083526 + ... + 10301431.

It is an arithmetic number, because the mean of its divisors is an integer number (109518186855).

Almost surely, 22221002220021 is an apocalyptic number.

It is an amenable number.

2221002220021 is a deficient number, since it is larger than the sum of its proper divisors (407434264499).

2221002220021 is a wasteful number, since it uses less digits than its factorization.

2221002220021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20385033 (or 20385016 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2221002220021 its reverse (1200222001222), we get a palindrome (3421224221243).

The spelling of 2221002220021 in words is "two trillion, two hundred twenty-one billion, two million, two hundred twenty thousand, twenty-one".

Divisors: 1 13 17 29 221 289 377 493 3757 6409 8381 108953 20384957 265004441 346544269 591163753 4505075497 5891252573 7685128789 10049783801 76586283449 130647189413 170846324617 2221002220021