Base | Representation |
---|---|
bin | 10011000000000101… |
… | …11101011001111100 |
3 | 222022221120220112200 |
4 | 21200002331121330 |
5 | 131343014320012 |
6 | 4404133431500 |
7 | 510540546600 |
oct | 114002753174 |
9 | 28287526480 |
10 | 10201323132 |
11 | 4365421070 |
12 | 1b8849b590 |
13 | c67618aa0 |
14 | 6cabab500 |
15 | 3ea8c93dc |
hex | 2600bd67c |
10201323132 has 432 divisors, whose sum is σ = 36226505952. Its totient is φ = 2377589760.
The previous prime is 10201323131. The next prime is 10201323137. The reversal of 10201323132 is 23132310201.
10201323132 is a `hidden beast` number, since 10 + 201 + 323 + 132 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10201323131) 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, 9332778 + ... + 9333870.
Almost surely, 210201323132 is an apocalyptic number.
10201323132 is a gapful number since it is divisible by the number (12) 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 10201323132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18113252976).
10201323132 is an abundant number, since it is smaller than the sum of its proper divisors (26025182820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10201323132 is a wasteful number, since it uses less digits than its factorization.
10201323132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1178 (or 1166 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 10201323132 its reverse (23132310201), we get a palindrome (33333633333).
It can be divided in two parts, 10201 and 323132, that added together give a palindrome (333333).
The spelling of 10201323132 in words is "ten billion, two hundred one million, three hundred twenty-three thousand, one hundred thirty-two".
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