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413430420221 = 713107293914447
BaseRepresentation
bin1100000010000100101…
…11111001001011111101
31110112010200021101222222
412001002113321023331
523233201141421341
6513532144415125
741604122406050
oct6010227711375
91415120241888
10413430420221
1114a37576a945
12681610174a5
132cca8c42960
141601db70a97
15ab4aa1c44b
hex60425f92fd

413430420221 has 32 divisors (see below), whose sum is σ = 513803243520. Its totient is φ = 323919999936.

The previous prime is 413430420209. The next prime is 413430420233. The reversal of 413430420221 is 122024034314.

It is an interprime number because it is at equal distance from previous prime (413430420209) and next prime (413430420233).

It is not a de Polignac number, because 413430420221 - 210 = 413430419197 is a prime.

It is a super-2 number, since 2×4134304202212 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413430420121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28609820 + ... + 28624266.

It is an arithmetic number, because the mean of its divisors is an integer number (16056351360).

Almost surely, 2413430420221 is an apocalyptic number.

It is an amenable number.

413430420221 is a deficient number, since it is larger than the sum of its proper divisors (100372823299).

413430420221 is a wasteful number, since it uses less digits than its factorization.

413430420221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17513.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 413430420221 its reverse (122024034314), we get a palindrome (535454454535).

The spelling of 413430420221 in words is "four hundred thirteen billion, four hundred thirty million, four hundred twenty thousand, two hundred twenty-one".

Divisors: 1 7 13 91 107 749 1391 2939 9737 14447 20573 38207 101129 187811 267449 314473 1314677 1545829 2201311 4088149 10820803 20095777 28617043 42459733 140670439 297218131 551976529 3863835703 4543191431 31802340017 59061488603 413430420221