Search a number
-
+
122120430344 = 231123431403167
BaseRepresentation
bin111000110111011110…
…0011110001100001000
3102200012210010122002122
41301232330132030020
54000100312232334
6132033520350412
711552154350033
oct1615674361410
9380183118078
10122120430344
11478778878a0
121b801a75408
13b6925a9493
145ca6bd001a
15329b20632e
hex1c6ef1e308

122120430344 has 64 divisors (see below), whose sum is σ = 266714173440. Its totient is φ = 51861015360.

The previous prime is 122120430343. The next prime is 122120430433. The reversal of 122120430344 is 443034021221.

It is not an unprimeable number, because it can be changed into a prime (122120430343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 614552 + ... + 788615.

It is an arithmetic number, because the mean of its divisors is an integer number (4167408960).

Almost surely, 2122120430344 is an apocalyptic number.

It is an amenable number.

122120430344 is an abundant number, since it is smaller than the sum of its proper divisors (144593743096).

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

122120430344 is a wasteful number, since it uses less digits than its factorization.

122120430344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403250 (or 1403246 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 122120430344 its reverse (443034021221), we get a palindrome (565154451565).

The spelling of 122120430344 in words is "one hundred twenty-two billion, one hundred twenty million, four hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 23 43 44 46 86 88 92 172 184 253 344 473 506 946 989 1012 1892 1978 2024 3784 3956 7912 10879 21758 43516 87032 1403167 2806334 5612668 11225336 15434837 30869674 32272841 60336181 61739348 64545682 120672362 123478696 129091364 241344724 258182728 355001251 482689448 663697991 710002502 1327395982 1387732163 1420005004 2654791964 2775464326 2840010008 5309583928 5550928652 11101857304 15265053793 30530107586 61060215172 122120430344