Base | Representation |
---|---|
bin | 111101000000001000… |
… | …1001011001111100000 |
3 | 110112010200111120100222 |
4 | 1322000101023033200 |
5 | 4121242224130044 |
6 | 140103034102212 |
7 | 12315220112231 |
oct | 1720021131740 |
9 | 415120446328 |
10 | 131001005024 |
11 | 5061471a00a |
12 | 2147bb7a968 |
13 | c4793a42b6 |
14 | 64aa3d9088 |
15 | 361ab928ee |
hex | 1e8044b3e0 |
131001005024 has 96 divisors (see below), whose sum is σ = 281624364000. Its totient is φ = 59738767360.
The previous prime is 131001004991. The next prime is 131001005029. The reversal of 131001005024 is 420500100131.
It is a super-2 number, since 2×1310010050242 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (17).
It is a junction number, because it is equal to n+sod(n) for n = 131001004993 and 131001005011.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131001005029) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3303587 + ... + 3343005.
It is an arithmetic number, because the mean of its divisors is an integer number (2933587125).
Almost surely, 2131001005024 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 131001005024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140812182000).
131001005024 is an abundant number, since it is smaller than the sum of its proper divisors (150623358976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131001005024 is a wasteful number, since it uses less digits than its factorization.
131001005024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 39636 (or 39628 counting only the distinct ones).
The product of its (nonzero) digits is 120, while the sum is 17.
Adding to 131001005024 its reverse (420500100131), we get a palindrome (551501105155).
The spelling of 131001005024 in words is "one hundred thirty-one billion, one million, five thousand, twenty-four".
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