Base | Representation |
---|---|
bin | 1001001101110001011000… |
… | …1111011101000101101010 |
3 | 1022212121222111201221122200 |
4 | 2103130112033131011222 |
5 | 2312001221424020242 |
6 | 33314400251201030 |
7 | 2064012246331161 |
oct | 223342617350552 |
9 | 38777874657580 |
10 | 10132201001322 |
11 | 3257051357004 |
12 | 1177831746176 |
13 | 5866020223aa |
14 | 270588a563d8 |
15 | 12886612004c |
hex | 937163dd16a |
10132201001322 has 48 divisors (see below), whose sum is σ = 22778866815432. Its totient is φ = 3252241704960.
The previous prime is 10132201001303. The next prime is 10132201001341. The reversal of 10132201001322 is 22310010223101.
10132201001322 is a `hidden beast` number, since 10 + 1 + 322 + 0 + 10 + 0 + 1 + 322 = 666.
It is an interprime number because it is at equal distance from previous prime (10132201001303) and next prime (10132201001341).
It can be written as a sum of positive squares in 4 ways, for example, as 7585722299961 + 2546478701361 = 2754219^2 + 1595769^2 .
It is a super-2 number, since 2×101322010013222 (a number of 27 digits) contains 22 as substring.
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 = 10132201001295 and 10132201001304.
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 23 ways as a sum of consecutive naturals, for example, 78355579 + ... + 78484782.
Almost surely, 210132201001322 is an apocalyptic number.
10132201001322 is an abundant number, since it is smaller than the sum of its proper divisors (12646665814110).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10132201001322 is a wasteful number, since it uses less digits than its factorization.
10132201001322 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 156840503 (or 156840500 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 10132201001322 its reverse (22310010223101), we get a palindrome (32442211224423).
The spelling of 10132201001322 in words is "ten trillion, one hundred thirty-two billion, two hundred one million, one thousand, three hundred twenty-two".
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