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420130331313 = 37119718749959
BaseRepresentation
bin1100001110100011011…
…10000001101010110001
31111011102121100011012020
412013101232001222301
523340411331100223
6521001043022053
742232135615410
oct6072156015261
91434377304166
10420130331313
111521a368a250
126951096a929
13308060194a4
14164978d3477
15adddd0b1e3
hex61d1b81ab1

420130331313 has 32 divisors (see below), whose sum is σ = 705598494720. Its totient is φ = 215999516160.

The previous prime is 420130331263. The next prime is 420130331359. The reversal of 420130331313 is 313133031024.

It is a happy number.

It is not a de Polignac number, because 420130331313 - 29 = 420130330801 is a prime.

It is a super-2 number, since 2×4201303313132 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (420130331213) 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, 9352573 + ... + 9397386.

It is an arithmetic number, because the mean of its divisors is an integer number (22049952960).

Almost surely, 2420130331313 is an apocalyptic number.

It is an amenable number.

420130331313 is a deficient number, since it is larger than the sum of its proper divisors (285468163407).

420130331313 is a wasteful number, since it uses less digits than its factorization.

420130331313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18750077.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 420130331313 its reverse (313133031024), we get a palindrome (733263362337).

The spelling of 420130331313 in words is "four hundred twenty billion, one hundred thirty million, three hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 7 11 21 33 77 97 231 291 679 1067 2037 3201 7469 22407 18749959 56249877 131249713 206249549 393749139 618748647 1443746843 1818746023 4331240529 5456238069 12731222161 20006206253 38193666483 60018618759 140043443771 420130331313