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701006130441 = 3210716325717377
BaseRepresentation
bin10100011001101110011…
…10001010110100001001
32111000102022201010020100
422030313032022310021
542441130032133231
61254012054120013
7101434404536301
oct12146716126411
92430368633210
10701006130441
1125032775a361
12b3a39650009
1351148a425b6
1425d00baa601
151337c59a1e6
hexa33738ad09

701006130441 has 48 divisors (see below), whose sum is σ = 1032358302144. Its totient is φ = 458312712192.

The previous prime is 701006130379. The next prime is 701006130449. The reversal of 701006130441 is 144031600107.

It is a happy number.

701006130441 is a `hidden beast` number, since 7 + 0 + 1 + 0 + 0 + 613 + 0 + 4 + 41 = 666.

It is not a de Polignac number, because 701006130441 - 27 = 701006130313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (701006130449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40332345 + ... + 40349721.

It is an arithmetic number, because the mean of its divisors is an integer number (21507464628).

Almost surely, 2701006130441 is an apocalyptic number.

It is an amenable number.

701006130441 is a deficient number, since it is larger than the sum of its proper divisors (331352171703).

701006130441 is a wasteful number, since it uses less digits than its factorization.

701006130441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17910 (or 17907 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 701006130441 its reverse (144031600107), we get a palindrome (845037730548).

The spelling of 701006130441 in words is "seven hundred one billion, six million, one hundred thirty thousand, four hundred forty-one".

Divisors: 1 3 9 107 163 257 321 489 771 963 1467 2313 17377 17441 27499 41891 52131 52323 82497 125673 156393 156969 247491 377019 1859339 2832451 4465889 4482337 5578017 8497353 13397667 13447011 16734051 25492059 40193001 40341033 303072257 477850123 727939907 909216771 1433550369 2183819721 2727650313 4300651107 6551459163 77889570049 233668710147 701006130441