Base | Representation |
---|---|
bin | 101111001111010001… |
… | …0001111001011110111 |
3 | 100200211210211022110012 |
4 | 1132132202033023313 |
5 | 3130224132214111 |
6 | 114334105250435 |
7 | 10220606653121 |
oct | 1363642171367 |
9 | 320753738405 |
10 | 101444023031 |
11 | 3a027562a6a |
12 | 177b1493a1b |
13 | 9748a32c40 |
14 | 4ca4b52211 |
15 | 298adc848b |
hex | 179e88f2f7 |
101444023031 has 24 divisors (see below), whose sum is σ = 116076487296. Its totient is φ = 88100591040.
The previous prime is 101444023019. The next prime is 101444023049. The reversal of 101444023031 is 130320444101.
It is not a de Polignac number, because 101444023031 - 222 = 101439828727 is a prime.
It is a super-3 number, since 3×1014440230313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (23).
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 101444022988 and 101444023006.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101444023091) 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 23 ways as a sum of consecutive naturals, for example, 298586 + ... + 540408.
It is an arithmetic number, because the mean of its divisors is an integer number (4836520304).
Almost surely, 2101444023031 is an apocalyptic number.
101444023031 is a deficient number, since it is larger than the sum of its proper divisors (14632464265).
101444023031 is a wasteful number, since it uses less digits than its factorization.
101444023031 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 241943 (or 241920 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 23.
Adding to 101444023031 its reverse (130320444101), we get a palindrome (231764467132).
The spelling of 101444023031 in words is "one hundred one billion, four hundred forty-four million, twenty-three thousand, thirty-one".
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