Base | Representation |
---|---|
bin | 110111111011100011… |
… | …1010111100110001001 |
3 | 102111000200012020221100 |
4 | 1233313013113212021 |
5 | 3431441131133001 |
6 | 131102222332013 |
7 | 11451303222225 |
oct | 1576707274611 |
9 | 374020166840 |
10 | 120110021001 |
11 | 46a35a80573 |
12 | 1b34072a009 |
13 | b431c29159 |
14 | 5b55bc5785 |
15 | 31ce989586 |
hex | 1bf71d7989 |
120110021001 has 36 divisors (see below), whose sum is σ = 184821501852. Its totient is φ = 75149082624.
The previous prime is 120110020993. The next prime is 120110021023. The reversal of 120110021001 is 100120011021.
It is a happy number.
It can be written as a sum of positive squares in 6 ways, for example, as 29554767225 + 90555253776 = 171915^2 + 300924^2 .
It is not a de Polignac number, because 120110021001 - 23 = 120110020993 is a prime.
It is a super-2 number, since 2×1201100210012 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (120110021041) 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 35 ways as a sum of consecutive naturals, for example, 852745 + ... + 983561.
It is an arithmetic number, because the mean of its divisors is an integer number (5133930607).
Almost surely, 2120110021001 is an apocalyptic number.
It is an amenable number.
120110021001 is a deficient number, since it is larger than the sum of its proper divisors (64711480851).
120110021001 is a wasteful number, since it uses less digits than its factorization.
120110021001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 131210 (or 131190 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 120110021001 its reverse (100120011021), we get a palindrome (220230032022).
The spelling of 120110021001 in words is "one hundred twenty billion, one hundred ten million, twenty-one thousand, one".
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