Search a number
-
+
122302130103 = 3241331442087
BaseRepresentation
bin111000111100111000…
…1100110011110110111
3102200200110000221022100
41301321301212132313
54000433321130403
6132103531033143
711556521644656
oct1617161463667
9380613027270
10122302130103
114796040058a
121b85289b7b3
13b6c1126c2a
145cc2dab19d
1532ac1482a3
hex1c79c667b7

122302130103 has 12 divisors (see below), whose sum is σ = 180967380048. Its totient is φ = 79546100640.

The previous prime is 122302130089. The next prime is 122302130141. The reversal of 122302130103 is 301031203221.

It is not a de Polignac number, because 122302130103 - 26 = 122302130039 is a prime.

It is a super-4 number, since 4×1223021301034 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122302130603) 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 11 ways as a sum of consecutive naturals, for example, 165720675 + ... + 165721412.

It is an arithmetic number, because the mean of its divisors is an integer number (15080615004).

Almost surely, 2122302130103 is an apocalyptic number.

122302130103 is a deficient number, since it is larger than the sum of its proper divisors (58665249945).

122302130103 is a wasteful number, since it uses less digits than its factorization.

122302130103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331442134 (or 331442131 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 122302130103 its reverse (301031203221), we get a palindrome (423333333324).

It can be divided in two parts, 122302 and 130103, that added together give a triangular number (252405 = T710).

The spelling of 122302130103 in words is "one hundred twenty-two billion, three hundred two million, one hundred thirty thousand, one hundred three".

Divisors: 1 3 9 41 123 369 331442087 994326261 2982978783 13589125567 40767376701 122302130103