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10120300101 = 321699366173
BaseRepresentation
bin10010110110011011…
…11000011001000101
3222010022010111211200
421123031320121011
5131211244100401
64352121053113
7505535063052
oct113315703105
928108114750
1010120300101
11432371128a
121b65327199
13c538bab72
146c011a029
153e3722686
hex25b378645

10120300101 has 12 divisors (see below), whose sum is σ = 14619292428. Its totient is φ = 6746367744.

The previous prime is 10120300063. The next prime is 10120300139. The reversal of 10120300101 is 10100302101.

10120300101 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10120300063) and next prime (10120300139).

It can be written as a sum of positive squares in 2 ways, for example, as 971568900 + 9148731201 = 31170^2 + 95649^2 .

It is not a de Polignac number, because 10120300101 - 29 = 10120299589 is a prime.

It is a super-2 number, since 2×101203001012 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120300301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119851 + ... + 186023.

It is an arithmetic number, because the mean of its divisors is an integer number (1218274369).

Almost surely, 210120300101 is an apocalyptic number.

It is an amenable number.

10120300101 is a deficient number, since it is larger than the sum of its proper divisors (4498992327).

10120300101 is a wasteful number, since it uses less digits than its factorization.

10120300101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83172 (or 83169 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10120300101 its reverse (10100302101), we get a palindrome (20220602202).

The spelling of 10120300101 in words is "ten billion, one hundred twenty million, three hundred thousand, one hundred one".

Divisors: 1 3 9 16993 50979 66173 152937 198519 595557 1124477789 3373433367 10120300101