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2422124114013 = 331914931687849
BaseRepresentation
bin100011001111110001110…
…110001111000001011101
322120112220222211122212000
4203033301312033001131
5304141002233122023
65052413005432513
7336664331162142
oct43176166170135
98515828748760
102422124114013
11854242a1052a
1233151056b739
1314753665c026
14853350a03c9
1543011d6e243
hex233f1d8f05d

2422124114013 has 32 divisors (see below), whose sum is σ = 3802542000000. Its totient is φ = 1519495687296.

The previous prime is 2422124114009. The next prime is 2422124114021. The reversal of 2422124114013 is 3104114212242.

2422124114013 is a `hidden beast` number, since 2 + 4 + 2 + 212 + 41 + 1 + 401 + 3 = 666.

It is not a de Polignac number, because 2422124114013 - 22 = 2422124114009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2422124104013) 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 31 ways as a sum of consecutive naturals, for example, 15767488 + ... + 15920361.

It is an arithmetic number, because the mean of its divisors is an integer number (118829437500).

Almost surely, 22422124114013 is an apocalyptic number.

It is an amenable number.

2422124114013 is a deficient number, since it is larger than the sum of its proper divisors (1380417885987).

2422124114013 is a wasteful number, since it uses less digits than its factorization.

2422124114013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31688026 (or 31688020 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 2422124114013 its reverse (3104114212242), we get a palindrome (5526238326255).

The spelling of 2422124114013 in words is "two trillion, four hundred twenty-two billion, one hundred twenty-four million, one hundred fourteen thousand, thirteen".

Divisors: 1 3 9 19 27 57 149 171 447 513 1341 2831 4023 8493 25479 76437 31687849 95063547 285190641 602069131 855571923 1806207393 4721489501 5418622179 14164468503 16255866537 42493405509 89708300519 127480216527 269124901557 807374704671 2422124114013