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10430034422301 = 3213857193353813
BaseRepresentation
bin1001011111000110111001…
…1111110010101000011101
31100221002202000212100201100
42113301232133302220131
52331341202303003201
634103254111103313
72124354655541604
oct227615637625035
940832660770640
1010430034422301
11336139758042a
1212054b1511b39
135a8718021780
14280b6013aa3b
151314984b4886
hex97c6e7f2a1d

10430034422301 has 48 divisors (see below), whose sum is σ = 16252134955056. Its totient is φ = 6407557567488.

The previous prime is 10430034422287. The next prime is 10430034422309. The reversal of 10430034422301 is 10322443003401.

10430034422301 is a `hidden beast` number, since 1 + 0 + 4 + 300 + 34 + 4 + 22 + 301 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 350139659076 + 10079894763225 = 591726^2 + 3174885^2 .

It is not a de Polignac number, because 10430034422301 - 221 = 10430032325149 is a prime.

It is a super-2 number, since 2×104300344223012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10430034422309) 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, 193793071 + ... + 193846883.

It is an arithmetic number, because the mean of its divisors is an integer number (338586144897).

Almost surely, 210430034422301 is an apocalyptic number.

It is an amenable number.

10430034422301 is a deficient number, since it is larger than the sum of its proper divisors (5822100532755).

10430034422301 is a wasteful number, since it uses less digits than its factorization.

10430034422301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56622 (or 56619 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10430034422301 its reverse (10322443003401), we get a palindrome (20752477425702).

The spelling of 10430034422301 in words is "ten trillion, four hundred thirty billion, thirty-four million, four hundred twenty-two thousand, three hundred one".

Divisors: 1 3 9 13 39 117 857 1933 2571 5799 7713 11141 17397 25129 33423 53813 75387 100269 161439 226161 484317 699569 1656581 2098707 4969743 6296121 14909229 21535553 46117741 64606659 104020529 138353223 193819977 312061587 415059669 599530633 936184761 1352266877 1798591899 4056800631 5395775697 12170401893 89145593353 267436780059 802310340177 1158892713589 3476678140767 10430034422301