Base | Representation |
---|---|
bin | 101111001000111100… |
… | …1100011010110010010 |
3 | 100200022000221000020000 |
4 | 1132101321203112102 |
5 | 3124310344443442 |
6 | 114301053430430 |
7 | 10212424031655 |
oct | 1362171432622 |
9 | 320260830200 |
10 | 101232031122 |
11 | 39a2892a342 |
12 | 1775249b416 |
13 | 9713b3a541 |
14 | 4c8492b89c |
15 | 29774a0d4c |
hex | 1791e63592 |
101232031122 has 80 divisors (see below), whose sum is σ = 238993101600. Its totient is φ = 31938598080.
The previous prime is 101232031093. The next prime is 101232031127. The reversal of 101232031122 is 221130232101.
101232031122 is a `hidden beast` number, since 1 + 0 + 12 + 320 + 311 + 22 = 666.
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 = 101232031095 and 101232031104.
It is not an unprimeable number, because it can be changed into a prime (101232031127) 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 39 ways as a sum of consecutive naturals, for example, 3460497 + ... + 3489627.
It is an arithmetic number, because the mean of its divisors is an integer number (2987413770).
Almost surely, 2101232031122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 101232031122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119496550800).
101232031122 is an abundant number, since it is smaller than the sum of its proper divisors (137761070478).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101232031122 is a wasteful number, since it uses less digits than its factorization.
101232031122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 30293 (or 30284 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 101232031122 its reverse (221130232101), we get a palindrome (322362263223).
The spelling of 101232031122 in words is "one hundred one billion, two hundred thirty-two million, thirty-one thousand, one hundred twenty-two".
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