Base | Representation |
---|---|
bin | 111101000001000110… |
… | …0000001110010100110 |
3 | 110112012221002202022200 |
4 | 1322002030001302212 |
5 | 4121324000210042 |
6 | 140110144235330 |
7 | 12316060623321 |
oct | 1720214016246 |
9 | 415187082280 |
10 | 131033210022 |
11 | 50630916110 |
12 | 2148a90bb46 |
13 | c482c6bb00 |
14 | 64b07bd7b8 |
15 | 361d904c4c |
hex | 1e82301ca6 |
131033210022 has 288 divisors, whose sum is σ = 361308055680. Its totient is φ = 33908958720.
The previous prime is 131033210017. The next prime is 131033210023. The reversal of 131033210022 is 220012330131.
131033210022 is a `hidden beast` number, since 1 + 310 + 332 + 1 + 0 + 0 + 22 = 666.
It is a super-2 number, since 2×1310332100222 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 131033209977 and 131033210004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131033210023) by changing a digit.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27336058 + ... + 27340850.
It is an arithmetic number, because the mean of its divisors is an integer number (1254541860).
Almost surely, 2131033210022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131033210022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180654027840).
131033210022 is an abundant number, since it is smaller than the sum of its proper divisors (230274845658).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131033210022 is a wasteful number, since it uses less digits than its factorization.
131033210022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4900 (or 4884 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 131033210022 its reverse (220012330131), we get a palindrome (351045540153).
The spelling of 131033210022 in words is "one hundred thirty-one billion, thirty-three million, two hundred ten thousand, twenty-two".
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