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202220002120009 = 3159899719016737
BaseRepresentation
bin101101111110101100000011…
…011001001001000101001001
3222112000001011122021120101111
4231332230003121021011021
5203001133031020320014
61554030330403250321
760410625111063346
oct5576540331110511
9875001148246344
10202220002120009
1159485026372125
121a81b7116799a1
1388ab358aacc93
1437d1700c6d7cd
15185a31652a2c4
hexb7eb03649149

202220002120009 has 64 divisors (see below), whose sum is σ = 217025783654400. Its totient is φ = 188130336768000.

The previous prime is 202220002119979. The next prime is 202220002120091. The reversal of 202220002120009 is 900021200022202.

It is a cyclic number.

It is not a de Polignac number, because 202220002120009 - 25 = 202220002119977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202220002124009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30016324689 + ... + 30016331425.

It is an arithmetic number, because the mean of its divisors is an integer number (3391027869600).

Almost surely, 2202220002120009 is an apocalyptic number.

It is an amenable number.

202220002120009 is a deficient number, since it is larger than the sum of its proper divisors (14805781534391).

202220002120009 is a wasteful number, since it uses less digits than its factorization.

202220002120009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8914.

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 202220002120009 in words is "two hundred two trillion, two hundred twenty billion, two million, one hundred twenty thousand, nine".

Divisors: 1 31 59 89 97 1829 1901 2759 3007 5251 5723 6737 8633 58931 112159 162781 169189 177413 184397 208847 267623 397483 509347 599593 653489 3476929 5244859 5716307 9982151 10879423 12321973 12807037 15789757 16411333 18587383 20258159 35375987 38555851 58160521 309446681 337262113 397018147 508751323 755615183 968268647 1096655597 1139826293 1195231381 1242282589 1802976151 3431470739 23424070673 30016328057 35334615083 38510760259 67249751287 73294672751 106375592909 110563150421 2084742289897 2272134855281 3427457663051 6523225874839 202220002120009