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221020110202000 = 2453831331446447
BaseRepresentation
bin110010010000010001000001…
…001010000010010010010000
31001222120022112111102002200111
4302100101001022002102100
5212432143141202431000
62102023123101331104
764361114241105124
oct6220210112022220
91058508474362614
10221020110202000
116447311425472a
1220957217866a94
139643150cbc355
143c81605099584
151a84390e24cba
hexc90441282490

221020110202000 has 80 divisors (see below), whose sum is σ = 540865501892352. Its totient is φ = 87342886857600.

The previous prime is 221020110201997. The next prime is 221020110202019. The reversal of 221020110202000 is 202011020122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2210201102020002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665557224 + ... + 665889223.

Almost surely, 2221020110202000 is an apocalyptic number.

221020110202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020110202000 is an abundant number, since it is smaller than the sum of its proper divisors (319845391690352).

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

221020110202000 is a wasteful number, since it uses less digits than its factorization.

221020110202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331446553 (or 1331446537 counting only the distinct ones).

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

Adding to 221020110202000 its reverse (202011020122), we get a palindrome (221222121222122).

The spelling of 221020110202000 in words is "two hundred twenty-one trillion, twenty billion, one hundred ten million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 125 166 200 250 332 400 415 500 664 830 1000 1328 1660 2000 2075 3320 4150 6640 8300 10375 16600 20750 33200 41500 83000 166000 1331446447 2662892894 5325785788 6657232235 10651571576 13314464470 21303143152 26628928940 33286161175 53257857880 66572322350 106515715760 110510055101 133144644700 166430805875 221020110202 266289289400 332861611750 442040220404 532578578800 552550275505 665723223500 884080440808 1105100551010 1331446447000 1768160881616 2210201102020 2662892894000 2762751377525 4420402204040 5525502755050 8840804408080 11051005510100 13813756887625 22102011020200 27627513775250 44204022040400 55255027550500 110510055101000 221020110202000