Base | Representation |
---|---|
bin | 1011111010101000110000… |
… | …0100000100111110110111 |
3 | 1201101112112220202002212000 |
4 | 2332222030010010332313 |
5 | 3204130344013211043 |
6 | 43510550433230343 |
7 | 2521405530411525 |
oct | 276521404047667 |
9 | 51345486662760 |
10 | 13102000132023 |
11 | 41a1588562670 |
12 | 15773094023b3 |
13 | 74068998a31a |
14 | 3341d6977315 |
15 | 17ac2e2ad2d3 |
hex | bea8c104fb7 |
13102000132023 has 128 divisors (see below), whose sum is σ = 23899318272000. Its totient is φ = 6990542507520.
The previous prime is 13102000132021. The next prime is 13102000132063. The reversal of 13102000132023 is 32023100020131.
13102000132023 is a `hidden beast` number, since 1 + 310 + 200 + 0 + 132 + 0 + 23 = 666.
It is not a de Polignac number, because 13102000132023 - 21 = 13102000132021 is a prime.
It is a super-3 number, since 3×131020001320233 (a number of 40 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 13102000131987 and 13102000132005.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13102000132021) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6714136 + ... + 8442962.
It is an arithmetic number, because the mean of its divisors is an integer number (186713424000).
Almost surely, 213102000132023 is an apocalyptic number.
13102000132023 is a deficient number, since it is larger than the sum of its proper divisors (10797318139977).
13102000132023 is a wasteful number, since it uses less digits than its factorization.
13102000132023 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1728962 (or 1728956 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 13102000132023 its reverse (32023100020131), we get a palindrome (45125100152154).
The spelling of 13102000132023 in words is "thirteen trillion, one hundred two billion, one hundred thirty-two thousand, twenty-three".
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