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2000123024121 = 35109119313907
BaseRepresentation
bin11101000110110000100…
…111110101001011111001
321002012200000100010100000
4131012300213311023321
5230232222443232441
64130502133503213
7264334625122665
oct35066047651371
97065600303300
102000123024121
1170127a338712
122837791a1b09
131167c2ba9901
146cb40d558a5
1537063bce2b6
hex1d1b09f52f9

2000123024121 has 48 divisors (see below), whose sum is σ = 3001136156928. Its totient is φ = 1331162456400.

The previous prime is 2000123024117. The next prime is 2000123024153. The reversal of 2000123024121 is 1214203210002.

It is a happy number.

2000123024121 is a `hidden beast` number, since 20 + 0 + 0 + 1 + 230 + 2 + 412 + 1 = 666.

It is not a de Polignac number, because 2000123024121 - 22 = 2000123024117 is a prime.

It is a super-2 number, since 2×20001230241212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2000123024094 and 2000123024103.

It is not an unprimeable number, because it can be changed into a prime (2000123020121) 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, 511931250 + ... + 511935156.

It is an arithmetic number, because the mean of its divisors is an integer number (62523669936).

Almost surely, 22000123024121 is an apocalyptic number.

It is an amenable number.

2000123024121 is a deficient number, since it is larger than the sum of its proper divisors (1001013132807).

2000123024121 is a wasteful number, since it uses less digits than its factorization.

2000123024121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6944 (or 6932 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2000123024121 its reverse (1214203210002), we get a palindrome (3214326234123).

The spelling of 2000123024121 in words is "two trillion, one hundred twenty-three million, twenty-four thousand, one hundred twenty-one".

Divisors: 1 3 9 27 81 243 1091 1931 3273 3907 5793 9819 11721 17379 29457 35163 52137 88371 105489 156411 265113 316467 469233 949401 2106721 4262537 6320163 7544417 12787611 18960489 22633251 38362833 56881467 67899753 115088499 170644401 203699259 345265497 511933203 611097777 1035796491 1833293331 8230958947 24692876841 74078630523 222235891569 666707674707 2000123024121