Base | Representation |
---|---|
bin | 10011011000101000101… |
… | …110000111100101100100 |
3 | 11201100102221111222010002 |
4 | 103120220232013211210 |
5 | 133311141444240400 |
6 | 2455545135520432 |
7 | 165146152004456 |
oct | 23305056074544 |
9 | 4640387458102 |
10 | 1332123040100 |
11 | 473a4a800716 |
12 | 196211389118 |
13 | 98807286488 |
14 | 4869195a2d6 |
15 | 249b9117ed5 |
hex | 13628b87964 |
1332123040100 has 36 divisors (see below), whose sum is σ = 2891655742500. Its totient is φ = 532674332160.
The previous prime is 1332123040067. The next prime is 1332123040109. The reversal of 1332123040100 is 10403212331.
It can be written as a sum of positive squares in 6 ways, for example, as 348959569984 + 983163470116 = 590728^2 + 991546^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (1332123040109) 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 11 ways as a sum of consecutive naturals, for example, 1879625 + ... + 2489424.
It is an arithmetic number, because the mean of its divisors is an integer number (80323770625).
Almost surely, 21332123040100 is an apocalyptic number.
1332123040100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
1332123040100 is an abundant number, since it is smaller than the sum of its proper divisors (1559532702400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1332123040100 is a wasteful number, since it uses less digits than its factorization.
1332123040100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4372112 (or 4372105 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 20.
Adding to 1332123040100 its reverse (10403212331), we get a palindrome (1342526252431).
The spelling of 1332123040100 in words is "one trillion, three hundred thirty-two billion, one hundred twenty-three million, forty thousand, one hundred".
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