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230122311232122 = 232171997376581721
BaseRepresentation
bin110100010100101110000110…
…100111011010101001111010
31010011210110220112111011222200
4310110232012213122221322
5220130310443133411442
62133232421430531030
766320534253231351
oct6424560647325172
91104713815434880
10230122311232122
1167362362461411
12219872b4506a76
139b53596690c5a
1440b7d9d26a998
151b91021bad34c
hexd14b869daa7a

230122311232122 has 48 divisors (see below), whose sum is σ = 528192016950312. Its totient is φ = 72159082859520.

The previous prime is 230122311232069. The next prime is 230122311232129. The reversal of 230122311232122 is 221232113221032.

230122311232122 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 2 + 2 + 311 + 2 + 321 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101399240738961 + 128723070493161 = 10069719^2 + 11345619^2 .

It is not an unprimeable number, because it can be changed into a prime (230122311232129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187679779 + ... + 188901942.

Almost surely, 2230122311232122 is an apocalyptic number.

230122311232122 is an abundant number, since it is smaller than the sum of its proper divisors (298069705718190).

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

230122311232122 is a wasteful number, since it uses less digits than its factorization.

230122311232122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376583743 (or 376583740 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 230122311232122 its reverse (221232113221032), we get a palindrome (451354424453154).

The spelling of 230122311232122 in words is "two hundred thirty trillion, one hundred twenty-two billion, three hundred eleven million, two hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 1997 3994 5991 11982 17973 33949 35946 67898 101847 203694 305541 611082 376581721 753163442 1129745163 2259490326 3389235489 6401889257 6778470978 12803778514 19205667771 38411335542 57617003313 115234006626 752033696837 1504067393674 2256101090511 4512202181022 6768303271533 12784572846229 13536606543066 25569145692458 38353718538687 76707437077374 115061155616061 230122311232122