Base | Representation |
---|---|
bin | 11101110010010010100… |
… | …01000111011100000011 |
3 | 10121211122200210220200000 |
4 | 32321021101013130003 |
5 | 113231441422041011 |
6 | 2102054035331043 |
7 | 133640404464402 |
oct | 16711121073403 |
9 | 3554580726600 |
10 | 1023431440131 |
11 | 365042404751 |
12 | 146421150a83 |
13 | 75680856909 |
14 | 3776a361639 |
15 | 1b94d89a356 |
hex | ee49447703 |
1023431440131 has 24 divisors (see below), whose sum is σ = 1533858768624. Its totient is φ = 681923823840.
The previous prime is 1023431440127. The next prime is 1023431440139. The reversal of 1023431440131 is 1310441343201.
1023431440131 is a `hidden beast` number, since 10 + 234 + 3 + 14 + 401 + 3 + 1 = 666.
It is not a de Polignac number, because 1023431440131 - 22 = 1023431440127 is a prime.
It is a super-2 number, since 2×10234314401312 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 1023431440095 and 1023431440104.
It is not an unprimeable number, because it can be changed into a prime (1023431440139) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 665800 + ... + 1578021.
It is an arithmetic number, because the mean of its divisors is an integer number (63910782026).
Almost surely, 21023431440131 is an apocalyptic number.
1023431440131 is a deficient number, since it is larger than the sum of its proper divisors (510427328493).
1023431440131 is an equidigital number, since it uses as much as digits as its factorization.
1023431440131 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2245713 (or 2245701 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
Adding to 1023431440131 its reverse (1310441343201), we get a palindrome (2333872783332).
The spelling of 1023431440131 in words is "one trillion, twenty-three billion, four hundred thirty-one million, four hundred forty thousand, one hundred thirty-one".
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