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102022333424221 = 7217332617459089
BaseRepresentation
bin10111001100100111101100…
…111100010110001001011101
3111101020020110211102212202211
4113030213230330112021131
5101333013214324033341
61000552225110320421
730326604346465300
oct2714475474261135
9441206424385684
10102022333424221
112a564479557151
12b538741059111
1344c0884630822
141b29c9b836b37
15bbdc7d2dd181
hex5cc9ecf1625d

102022333424221 has 24 divisors (see below), whose sum is σ = 118793156965560. Its totient is φ = 87363667786752.

The previous prime is 102022333424177. The next prime is 102022333424269. The reversal of 102022333424221 is 122424333220201.

It can be written as a sum of positive squares in 4 ways, for example, as 36957766904100 + 65064566520121 = 6079290^2 + 8066261^2 .

It is not a de Polignac number, because 102022333424221 - 229 = 102021796553309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022333424321) 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, 221998245 + ... + 222457333.

It is an arithmetic number, because the mean of its divisors is an integer number (4949714873565).

Almost surely, 2102022333424221 is an apocalyptic number.

It is an amenable number.

102022333424221 is a deficient number, since it is larger than the sum of its proper divisors (16770823541339).

102022333424221 is a wasteful number, since it uses less digits than its factorization.

102022333424221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463453 (or 463446 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 102022333424221 its reverse (122424333220201), we get a palindrome (224446666644422).

The spelling of 102022333424221 in words is "one hundred two trillion, twenty-two billion, three hundred thirty-three million, four hundred twenty-four thousand, two hundred twenty-one".

Divisors: 1 7 49 1733 2617 12131 18319 84917 128233 459089 3213623 4535261 22495361 31746827 222227789 795601237 1201435913 5569208659 8410051391 38984460613 58870359737 2082088437229 14574619060603 102022333424221