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20022200211221 = 1317252110228993
BaseRepresentation
bin1001000110101110010000…
…01000011001011100010101
32121220002210120002002021222
410203113020020121130111
510111020431223224341
6110330023301420125
74134361533504515
oct443271010313425
977802716062258
1020022200211221
11641a40505033a
1222b452a40a645
13b231157651b0
144d3118837845
1524ac53d6144b
hex1235c8219715

20022200211221 has 24 divisors (see below), whose sum is σ = 22949320862664. Its totient is φ = 17361463541760.

The previous prime is 20022200211217. The next prime is 20022200211259. The reversal of 20022200211221 is 12211200222002.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1966966980196 + 18055233231025 = 1402486^2 + 4249145^2 .

It is not a de Polignac number, because 20022200211221 - 22 = 20022200211217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20022200211221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20022200213221) 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 23 ways as a sum of consecutive naturals, for example, 3157100 + ... + 7071893.

It is an arithmetic number, because the mean of its divisors is an integer number (956221702611).

Almost surely, 220022200211221 is an apocalyptic number.

It is an amenable number.

20022200211221 is a deficient number, since it is larger than the sum of its proper divisors (2927120651443).

20022200211221 is a wasteful number, since it uses less digits than its factorization.

20022200211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10229561 (or 10229544 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 20022200211221 its reverse (12211200222002), we get a palindrome (32233400433223).

The spelling of 20022200211221 in words is "twenty trillion, twenty-two billion, two hundred million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 13 17 221 289 521 3757 6773 8857 115141 150569 1957397 10228993 132976909 173892881 2260607453 2956178977 5329305353 38430326701 69280969589 90598191001 1177776483013 1540169247017 20022200211221