Base | Representation |
---|---|
bin | 1001001101110000101011… |
… | …1111101100010101100100 |
3 | 1022212121111100200221200021 |
4 | 2103130022333230111210 |
5 | 2312000330123220400 |
6 | 33314325431124524 |
7 | 2064004465505146 |
oct | 223341277542544 |
9 | 38777440627607 |
10 | 10132012320100 |
11 | 3256a648a5010 |
12 | 117779a513744 |
13 | 5865a1bcbcb8 |
14 | 27056b97cc96 |
15 | 12885479e71a |
hex | 9370afec564 |
10132012320100 has 72 divisors (see below), whose sum is σ = 24758953825536. Its totient is φ = 3565517520000.
The previous prime is 10132012320097. The next prime is 10132012320103. The reversal of 10132012320100 is 102321023101.
It is an interprime number because it is at equal distance from previous prime (10132012320097) and next prime (10132012320103).
It is not an unprimeable number, because it can be changed into a prime (10132012320103) 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, 148529131 + ... + 148597330.
It is an arithmetic number, because the mean of its divisors is an integer number (343874358688).
Almost surely, 210132012320100 is an apocalyptic number.
10132012320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
10132012320100 is an abundant number, since it is smaller than the sum of its proper divisors (14626941505436).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10132012320100 is a wasteful number, since it uses less digits than its factorization.
10132012320100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 297126517 (or 297126510 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 16.
Adding to 10132012320100 its reverse (102321023101), we get a palindrome (10234333343201).
The spelling of 10132012320100 in words is "ten trillion, one hundred thirty-two billion, twelve million, three hundred twenty thousand, one hundred".
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