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30001313331 = 33113116319991
BaseRepresentation
bin11011111100001101…
…111011011000110011
32212102211202121221000
4123330031323120303
5442420314011311
621441000133043
72111313645543
oct337415733063
985384677830
1030001313331
11117a5a60830
125993467183
132aa1734b12
1416486ab323
15ba8cd8056
hex6fc37b633

30001313331 has 64 divisors (see below), whose sum is σ = 50360647680. Its totient is φ = 17487252000.

The previous prime is 30001313317. The next prime is 30001313333. The reversal of 30001313331 is 13331310003.

30001313331 is a `hidden beast` number, since 300 + 0 + 1 + 31 + 3 + 331 = 666.

It is not a de Polignac number, because 30001313331 - 25 = 30001313299 is a prime.

It is a super-2 number, since 2×300013133312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30001313333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1490746 + ... + 1510736.

It is an arithmetic number, because the mean of its divisors is an integer number (786885120).

Almost surely, 230001313331 is an apocalyptic number.

30001313331 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

30001313331 is a deficient number, since it is larger than the sum of its proper divisors (20359334349).

30001313331 is a wasteful number, since it uses less digits than its factorization.

30001313331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20205 (or 20199 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 30001313331 its reverse (13331310003), we get a palindrome (43332623334).

The spelling of 30001313331 in words is "thirty billion, one million, three hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 9 11 27 31 33 93 99 163 279 297 341 489 837 1023 1467 1793 3069 4401 5053 5379 9207 15159 16137 19991 45477 48411 55583 59973 136431 166749 179919 219901 500247 539757 619721 659703 1500741 1859163 1979109 3258533 5577489 5937327 6816931 9775599 16732467 20450793 29326797 35843863 61352379 87980391 101014523 107531589 184057137 303043569 322594767 909130707 967784301 1111159753 2727392121 3333479259 10000437777 30001313331