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120123340101 = 321011916831013
BaseRepresentation
bin110111111011111101…
…0001011010101000101
3102111001121020221022100
41233313322023111011
53432003033340401
6131103420022313
711451524354352
oct1576772132505
9374047227270
10120123340101
1146a42548396
121b345091999
13b43491068b
145b57891629
1531d0c1ab86
hex1bf7e8b545

120123340101 has 48 divisors (see below), whose sum is σ = 176578900992. Its totient is φ = 78680976000.

The previous prime is 120123340097. The next prime is 120123340123. The reversal of 120123340101 is 101043321021.

120123340101 is a `hidden beast` number, since 1 + 201 + 23 + 340 + 101 = 666.

It is not a de Polignac number, because 120123340101 - 22 = 120123340097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120123341101) 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 47 ways as a sum of consecutive naturals, for example, 118581271 + ... + 118582283.

It is an arithmetic number, because the mean of its divisors is an integer number (3678727104).

Almost surely, 2120123340101 is an apocalyptic number.

It is an amenable number.

120123340101 is a deficient number, since it is larger than the sum of its proper divisors (56455560891).

120123340101 is a wasteful number, since it uses less digits than its factorization.

120123340101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120123340101 its reverse (101043321021), we get a palindrome (221166661122).

The spelling of 120123340101 in words is "one hundred twenty billion, one hundred twenty-three million, three hundred forty thousand, one hundred one".

Divisors: 1 3 9 101 191 303 573 683 909 1013 1719 2049 3039 6147 9117 19291 57873 68983 102313 130453 173619 193483 206949 306939 391359 580449 620847 691879 920817 1174077 1741347 2075637 6226911 13175753 19541783 39527259 58625349 69879779 118581777 132148889 175876047 209639337 396446667 628918011 1189340001 13347037789 40041113367 120123340101