Base | Representation |
---|---|
bin | 11101100101100010110001… |
… | …101111000011000001110100 |
3 | 122001201200000021121012121100 |
4 | 131211202301233003001310 |
5 | 114023420020120200040 |
6 | 1140425453542450100 |
7 | 36260045644566630 |
oct | 3545426157030164 |
9 | 561650007535540 |
10 | 130123311100020 |
11 | 38508a93898847 |
12 | 12716929733930 |
13 | 577b76373a024 |
14 | 241c00516ddc0 |
15 | 1009c15095b30 |
hex | 7658b1bc3074 |
130123311100020 has 72 divisors (see below), whose sum is σ = 451094145151104. Its totient is φ = 29742471108288.
The previous prime is 130123311099953. The next prime is 130123311100021. The reversal of 130123311100020 is 20001113321031.
130123311100020 is a `hidden beast` number, since 1 + 301 + 2 + 331 + 1 + 10 + 0 + 0 + 20 = 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 = 130123311099966 and 130123311100002.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130123311100021) 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 23 ways as a sum of consecutive naturals, for example, 51636233304 + ... + 51636235823.
It is an arithmetic number, because the mean of its divisors is an integer number (6265196460432).
Almost surely, 2130123311100020 is an apocalyptic number.
130123311100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
130123311100020 is an abundant number, since it is smaller than the sum of its proper divisors (320970834051084).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130123311100020 is a wasteful number, since it uses less digits than its factorization.
130123311100020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 103272469149 (or 103272469144 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
Adding to 130123311100020 its reverse (20001113321031), we get a palindrome (150124424421051).
The spelling of 130123311100020 in words is "one hundred thirty trillion, one hundred twenty-three billion, three hundred eleven million, one hundred thousand, twenty".
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