Search a number
-
+
122818434229 = 2338313942381
BaseRepresentation
bin111001001100010001…
…1001001010010110101
3102202000102112220102101
41302120203021102311
54003013004343404
6132231053142101
711605361315551
oct1623043112265
9382012486371
10122818434229
11480a5893507
121b97778a931
13b77409a12a
145d317a8861
1532dc6322a4
hex1c988c94b5

122818434229 has 8 divisors (see below), whose sum is σ = 128492992512. Its totient is φ = 117171761520.

The previous prime is 122818434227. The next prime is 122818434259. The reversal of 122818434229 is 922434818221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122818434229 - 21 = 122818434227 is a prime.

It is a super-3 number, since 3×1228184342293 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122818434227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6962382 + ... + 6979999.

It is an arithmetic number, because the mean of its divisors is an integer number (16061624064).

Almost surely, 2122818434229 is an apocalyptic number.

It is an amenable number.

122818434229 is a deficient number, since it is larger than the sum of its proper divisors (5674558283).

122818434229 is a wasteful number, since it uses less digits than its factorization.

122818434229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13942787.

The product of its digits is 442368, while the sum is 46.

The spelling of 122818434229 in words is "one hundred twenty-two billion, eight hundred eighteen million, four hundred thirty-four thousand, two hundred twenty-nine".

Divisors: 1 23 383 8809 13942381 320674763 5339931923 122818434229