Base | Representation |
---|---|
bin | 1010100001100011011100… |
… | …01110101011110100110100 |
3 | 10000221110110201222100212221 |
4 | 11100301232032223310310 |
5 | 11013134114040243012 |
6 | 121115450353252124 |
7 | 4606015261604104 |
oct | 520615616536464 |
9 | 100843421870787 |
10 | 23143133134132 |
11 | 7412a4734aa00 |
12 | 2719364564044 |
13 | cbb50783233b |
14 | 5a01c2923204 |
15 | 2a20153dc507 |
hex | 150c6e3abd34 |
23143133134132 has 36 divisors (see below), whose sum is σ = 47135710403460. Its totient is φ = 9900805615360.
The previous prime is 23143133134111. The next prime is 23143133134133.
23143133134132 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in 2 ways, for example, as 18166468181796 + 4976664952336 = 4262214^2 + 2230844^2 .
It is a super-2 number, since 2×231431331341322 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (34).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23143133134133) 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 11 ways as a sum of consecutive naturals, for example, 1406356207 + ... + 1406372662.
It is an arithmetic number, because the mean of its divisors is an integer number (1309325288985).
Almost surely, 223143133134132 is an apocalyptic number.
23143133134132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
23143133134132 is an abundant number, since it is smaller than the sum of its proper divisors (23992577269328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23143133134132 is a wasteful number, since it uses less digits than its factorization.
23143133134132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2812728912 (or 2812728899 counting only the distinct ones).
The product of its digits is 46656, while the sum is 34.
It can be divided in two parts, 2314313 and 3134132, that added together give a palindrome (5448445).
The spelling of 23143133134132 in words is "twenty-three trillion, one hundred forty-three billion, one hundred thirty-three million, one hundred thirty-four thousand, one hundred thirty-two".
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