Search a number
-
+
121344031122 = 23757151117681
BaseRepresentation
bin111000100000010101…
…0101111100110010010
3102121012200012110120220
41301000222233212102
53442003032443442
6131424503413510
711524006150326
oct1610052574622
9377180173526
10121344031122
11475095a6646
121b625a54296
13b59a79a962
145c31a49986
153252e91eec
hex1c40aaf992

121344031122 has 32 divisors (see below), whose sum is σ = 243183233664. Its totient is φ = 40365561600.

The previous prime is 121344031117. The next prime is 121344031141. The reversal of 121344031122 is 221130443121.

121344031122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1213440311223 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121344031092 and 121344031101.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6854122 + ... + 6871802.

It is an arithmetic number, because the mean of its divisors is an integer number (7599476052).

Almost surely, 2121344031122 is an apocalyptic number.

121344031122 is an abundant number, since it is smaller than the sum of its proper divisors (121839202542).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121344031122 is a wasteful number, since it uses less digits than its factorization.

121344031122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19954.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 121344031122 its reverse (221130443121), we get a palindrome (342474474243).

The spelling of 121344031122 in words is "one hundred twenty-one billion, three hundred forty-four million, thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 757 1511 1514 2271 3022 4533 4542 9066 17681 35362 53043 106086 1143827 2287654 3431481 6862962 13384517 26715991 26769034 40153551 53431982 80147973 80307102 160295946 20224005187 40448010374 60672015561 121344031122