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21301123221 = 3273785710663
BaseRepresentation
bin10011110101101001…
…010101100010010101
32000222111211011202200
4103311221111202111
5322111041420341
613441404555113
71352601363030
oct236551254225
960874734680
1021301123221
119040a24174
124165852a99
132016116c31
14106101a017
1584a0cddb6
hex4f5a55895

21301123221 has 48 divisors (see below), whose sum is σ = 36159661824. Its totient is φ = 11828166912.

The previous prime is 21301123219. The next prime is 21301123223. The reversal of 21301123221 is 12232110312.

21301123221 is a `hidden beast` number, since 21 + 301 + 123 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (21301123219) and next prime (21301123223).

It is not a de Polignac number, because 21301123221 - 21 = 21301123219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21301123194 and 21301123203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21301123223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1992336 + ... + 2002998.

It is an arithmetic number, because the mean of its divisors is an integer number (753326288).

Almost surely, 221301123221 is an apocalyptic number.

21301123221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21301123221 is a deficient number, since it is larger than the sum of its proper divisors (14858538603).

21301123221 is a wasteful number, since it uses less digits than its factorization.

21301123221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11570 (or 11567 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21301123221 its reverse (12232110312), we get a palindrome (33533233533).

The spelling of 21301123221 in words is "twenty-one billion, three hundred one million, one hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 857 2331 2571 5999 7713 10663 17997 31709 31989 53991 74641 95127 95967 221963 223923 285381 394531 665889 671769 1183593 1997667 2761717 3550779 8285151 9138191 24855453 27414573 63967337 82243719 191902011 338113067 575706033 1014339201 2366791469 3043017603 7100374407 21301123221