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420210403114221 = 321217247715488441
BaseRepresentation
bin101111110001011011101101…
…1110011101111110011101101
32001002211201111111022021011200
41133202313123303233303231
5420034211401144123341
64045413554430040113
7154340125342635306
oct13742673363576355
92032751444267150
10420210403114221
1111198a25a771595
123b167711949039
1315061895200035
1475aa4134817ad
15338a9848c2db6
hex17e2ddbcefced

420210403114221 has 24 divisors (see below), whose sum is σ = 607714608776184. Its totient is φ = 279797057802240.

The previous prime is 420210403114213. The next prime is 420210403114231. The reversal of 420210403114221 is 122411304012024.

420210403114221 is a `hidden beast` number, since 4 + 2 + 0 + 21 + 0 + 403 + 1 + 14 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2186003648196 + 418024399466025 = 1478514^2 + 20445645^2 .

It is not a de Polignac number, because 420210403114221 - 23 = 420210403114213 is a prime.

It is a super-2 number, since 2×4202104031142212 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420210403114231) 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, 19386361 + ... + 34874801.

It is an arithmetic number, because the mean of its divisors is an integer number (25321442032341).

Almost surely, 2420210403114221 is an apocalyptic number.

It is an amenable number.

420210403114221 is a deficient number, since it is larger than the sum of its proper divisors (187504205661963).

420210403114221 is a wasteful number, since it uses less digits than its factorization.

420210403114221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15492141 (or 15492138 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 420210403114221 its reverse (122411304012024), we get a palindrome (542621707126245).

The spelling of 420210403114221 in words is "four hundred twenty trillion, two hundred ten billion, four hundred three million, one hundred fourteen thousand, two hundred twenty-one".

Divisors: 1 3 9 1217 2477 3651 7431 10953 22293 3014509 9043527 15488441 27130581 46465323 139395969 18849432697 38364868357 56548298091 115094605071 169644894273 345283815213 46690044790469 140070134371407 420210403114221