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221020020222001 = 711131015473996583
BaseRepresentation
bin110010010000010000111011…
…110010110010100000110001
31001222120022022020002122022221
4302100100323302302200301
5212432143000134101001
62102023110125001041
764361112066224560
oct6220207362624061
91058508266078287
10221020020222001
11644730784873a0
12209571b16b3181
139643138476550
143c815d7155bd7
151a8438809e1a1
hexc9043bcb2831

221020020222001 has 64 divisors (see below), whose sum is σ = 300240271650816. Its totient is φ = 157113631584000.

The previous prime is 221020020221953. The next prime is 221020020222031. The reversal of 221020020222001 is 100222020020122.

It is not a de Polignac number, because 221020020222001 - 211 = 221020020219953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221020020222031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53303956 + ... + 57300538.

It is an arithmetic number, because the mean of its divisors is an integer number (4691254244544).

Almost surely, 2221020020222001 is an apocalyptic number.

It is an amenable number.

221020020222001 is a deficient number, since it is larger than the sum of its proper divisors (79220251428815).

221020020222001 is a wasteful number, since it uses less digits than its factorization.

221020020222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997262.

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

Adding to 221020020222001 its reverse (100222020020122), we get a palindrome (321242040242123).

The spelling of 221020020222001 in words is "two hundred twenty-one trillion, twenty billion, twenty million, two hundred twenty-two thousand, one".

Divisors: 1 7 11 13 77 91 101 143 547 707 1001 1111 1313 3829 6017 7111 7777 9191 14443 42119 49777 55247 78221 101101 386729 547547 607717 718211 3996583 4254019 5027477 7900321 27976081 43962413 51955579 55302247 307736891 363689053 403654883 571511369 2186130901 2825584181 4000579583 4440203713 5247513479 15302916307 24047439911 28419701713 31081425991 36732594353 57722648269 168332079377 198937911991 220799221001 312616718843 404058537883 1545594547007 2188317031901 2428791431011 2870389873013 17001540017077 20092729111091 31574288603143 221020020222001