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13330103331 = 337521230501
BaseRepresentation
bin11000110101000100…
…10011110000100011
31021101222221102002210
430122202103300203
5204300001301311
610042422213203
7651222003006
oct143242236043
937358842083
1013330103331
11572054aa26
122700284203
1313458ac80c
1490653753d
1553040a3a6
hex31a893c23

13330103331 has 16 divisors (see below), whose sum is σ = 18288950688. Its totient is φ = 8629920000.

The previous prime is 13330103327. The next prime is 13330103351.

13330103331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13330103331 - 22 = 13330103327 is a prime.

It is a super-2 number, since 2×133301033312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13330103298 and 13330103307.

It is not an unprimeable number, because it can be changed into a prime (13330103351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57420 + ... + 173081.

It is an arithmetic number, because the mean of its divisors is an integer number (1143059418).

Almost surely, 213330103331 is an apocalyptic number.

13330103331 is a deficient number, since it is larger than the sum of its proper divisors (4958847357).

13330103331 is a wasteful number, since it uses less digits than its factorization.

13330103331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231062.

The product of its (nonzero) digits is 729, while the sum is 21.

The spelling of 13330103331 in words is "thirteen billion, three hundred thirty million, one hundred three thousand, three hundred thirty-one".

Divisors: 1 3 37 111 521 1563 19277 57831 230501 691503 8528537 25585611 120091021 360273063 4443367777 13330103331