Base | Representation |
---|---|
bin | 11101101000011011000000… |
… | …101110100101010101000111 |
3 | 122002102120121200220001111000 |
4 | 131220123000232211111013 |
5 | 114040140134032212411 |
6 | 1141100411240344343 |
7 | 36310251055246464 |
oct | 3550330056452507 |
9 | 562376550801430 |
10 | 130321131132231 |
11 | 38584977071976 |
12 | 127491371750b3 |
13 | 57942cb21c820 |
14 | 242780d90a66b |
15 | 100ee41e58956 |
hex | 7686c0ba5547 |
130321131132231 has 32 divisors (see below), whose sum is σ = 207986374715840. Its totient is φ = 80171922355200.
The previous prime is 130321131132197. The next prime is 130321131132233. The reversal of 130321131132231 is 132231131123031.
130321131132231 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 21 + 1 + 311 + 322 + 3 + 1 = 666.
It is not a de Polignac number, because 130321131132231 - 27 = 130321131132103 is a prime.
It is a super-2 number, since 2×1303211311322312 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 130321131132195 and 130321131132204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130321131132233) 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 31 ways as a sum of consecutive naturals, for example, 58386310 + ... + 60577251.
It is an arithmetic number, because the mean of its divisors is an integer number (6499574209870).
Almost surely, 2130321131132231 is an apocalyptic number.
130321131132231 is a deficient number, since it is larger than the sum of its proper divisors (77665243583609).
130321131132231 is a wasteful number, since it uses less digits than its factorization.
130321131132231 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 118966704 (or 118966698 counting only the distinct ones).
The product of its (nonzero) digits is 1944, while the sum is 27.
Adding to 130321131132231 its reverse (132231131123031), we get a palindrome (262552262255262).
The spelling of 130321131132231 in words is "one hundred thirty trillion, three hundred twenty-one billion, one hundred thirty-one million, one hundred thirty-two thousand, two hundred thirty-one".
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