Base | Representation |
---|---|
bin | 1010100111000000000110… |
… | …11100011010010000111100 |
3 | 10001121100122010100001120200 |
4 | 11103200003130122100330 |
5 | 11024220443423144012 |
6 | 121341445012243500 |
7 | 4625363040043200 |
oct | 523400334322074 |
9 | 101540563301520 |
10 | 23330320131132 |
11 | 7485373548323 |
12 | 27496a5010590 |
13 | 1003069433421 |
14 | 5a929d034b00 |
15 | 2a6d1da4b3dc |
hex | 15380371a43c |
23330320131132 has 216 divisors, whose sum is σ = 71284226936832. Its totient is φ = 6408057096000.
The previous prime is 23330320131127. The next prime is 23330320131143. The reversal of 23330320131132 is 23113102303332.
23330320131132 is a `hidden beast` number, since 2 + 3 + 330 + 320 + 1 + 3 + 1 + 1 + 3 + 2 = 666.
It is a super-2 number, since 2×233303201311322 (a number of 28 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 23330320131096 and 23330320131105.
It is a congruent number.
It is an unprimeable number.
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 71 ways as a sum of consecutive naturals, for example, 6844573 + ... + 9669995.
It is an arithmetic number, because the mean of its divisors is an integer number (330019569152).
Almost surely, 223330320131132 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23330320131132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35642113468416).
23330320131132 is an abundant number, since it is smaller than the sum of its proper divisors (47953906805700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23330320131132 is a wasteful number, since it uses less digits than its factorization.
23330320131132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2825629 (or 2825617 counting only the distinct ones).
The product of its (nonzero) digits is 5832, while the sum is 27.
Adding to 23330320131132 its reverse (23113102303332), we get a palindrome (46443422434464).
The spelling of 23330320131132 in words is "twenty-three trillion, three hundred thirty billion, three hundred twenty million, one hundred thirty-one thousand, one hundred thirty-two".
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