Base | Representation |
---|---|
bin | 1001001101110001110000… |
… | …1001111111000101101100 |
3 | 1022212122020102110100012200 |
4 | 2103130130021333011230 |
5 | 2312001422324343040 |
6 | 33314414154101500 |
7 | 2064014562634452 |
oct | 223343411770554 |
9 | 38778212410180 |
10 | 10132300231020 |
11 | 32570a2371820 |
12 | 117785aa1a890 |
13 | 5866197563a6 |
14 | 270597cc69d2 |
15 | 12886ebc1630 |
hex | 9371c27f16c |
10132300231020 has 144 divisors (see below), whose sum is σ = 33543494318880. Its totient is φ = 2455231564800.
The previous prime is 10132300230989. The next prime is 10132300231043. The reversal of 10132300231020 is 2013200323101.
10132300231020 is a `hidden beast` number, since 1 + 0 + 1 + 32 + 300 + 2 + 310 + 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 = 10132300230984 and 10132300231002.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 3364960 + ... + 5620280.
It is an arithmetic number, because the mean of its divisors is an integer number (232940932770).
Almost surely, 210132300231020 is an apocalyptic number.
10132300231020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10132300231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16771747159440).
10132300231020 is an abundant number, since it is smaller than the sum of its proper divisors (23411194087860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10132300231020 is a wasteful number, since it uses less digits than its factorization.
10132300231020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2257616 (or 2257611 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 10132300231020 its reverse (2013200323101), we get a palindrome (12145500554121).
The spelling of 10132300231020 in words is "ten trillion, one hundred thirty-two billion, three hundred million, two hundred thirty-one thousand, twenty".
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