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4130564301 = 3637153137
BaseRepresentation
bin1111011000110011…
…0110100011001101
3101122212101102000000
43312030312203031
531424411024201
61521512154513
7204234134343
oct36614664315
911585342000
104130564301
11182a661106
12973398a39
1350a9a6cb6
142b281d993
15192965d86
hexf63368cd

4130564301 has 28 divisors (see below), whose sum is σ = 6360433692. Its totient is φ = 2679267456.

The previous prime is 4130564297. The next prime is 4130564303. The reversal of 4130564301 is 1034650314.

4130564301 is a `hidden beast` number, since 4 + 13 + 0 + 5 + 643 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3957668100 + 172896201 = 62910^2 + 13149^2 .

It is not a de Polignac number, because 4130564301 - 22 = 4130564297 is a prime.

It is a super-3 number, since 3×41305643013 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130564303) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 49596 + ... + 103541.

Almost surely, 24130564301 is an apocalyptic number.

It is an amenable number.

4130564301 is a deficient number, since it is larger than the sum of its proper divisors (2229869391).

4130564301 is an equidigital number, since it uses as much as digits as its factorization.

4130564301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153192 (or 153177 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4130564301 is about 64269.4663195518. The cubic root of 4130564301 is about 1604.4879596422.

The spelling of 4130564301 in words is "four billion, one hundred thirty million, five hundred sixty-four thousand, three hundred one".

Divisors: 1 3 9 27 37 81 111 243 333 729 999 2997 8991 26973 153137 459411 1378233 4134699 5666069 12404097 16998207 37212291 50994621 111636873 152983863 458951589 1376854767 4130564301