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2121023120013 = 32759570627689
BaseRepresentation
bin11110110111010110110…
…101000110001010001101
321111202201202012100021100
4132313112311012022031
5234222323404320023
64302215022253313
7306144634023450
oct36672665061215
97452652170240
102121023120013
11748580290136
122a309a427239
1312501c6c21a5
147492da41497
153a28cbcec43
hex1edd6d4628d

2121023120013 has 24 divisors (see below), whose sum is σ = 3560716785600. Its totient is φ = 1191470612544.

The previous prime is 2121023119987. The next prime is 2121023120059. The reversal of 2121023120013 is 3100213201212.

2121023120013 is a `hidden beast` number, since 21 + 210 + 231 + 200 + 1 + 3 = 666.

It is not a de Polignac number, because 2121023120013 - 26 = 2121023119949 is a prime.

It is a super-2 number, since 2×21210231200132 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121023120093) 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, 285310128 + ... + 285317561.

It is an arithmetic number, because the mean of its divisors is an integer number (148363199400).

Almost surely, 22121023120013 is an apocalyptic number.

It is an amenable number.

2121023120013 is a deficient number, since it is larger than the sum of its proper divisors (1439693665587).

2121023120013 is a wasteful number, since it uses less digits than its factorization.

2121023120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570627761 (or 570627758 counting only the distinct ones).

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

Adding to 2121023120013 its reverse (3100213201212), we get a palindrome (5221236321225).

The spelling of 2121023120013 in words is "two trillion, one hundred twenty-one billion, twenty-three million, one hundred twenty thousand, thirteen".

Divisors: 1 3 7 9 21 59 63 177 413 531 1239 3717 570627689 1711883067 3994393823 5135649201 11983181469 33667033651 35949544407 101001100953 235669235557 303003302859 707007706671 2121023120013