Search a number
-
+
122313112122 = 233130711511861
BaseRepresentation
bin111000111101001101…
…1011111101000111010
3102200201012200212210210
41301322123133220322
54000444124041442
6132105002251550
711560014204345
oct1617233375072
9380635625723
10122313112122
1147966621533
121b8564b6bb6
13b6c34a0776
145cc462945c
1532ad0b719c
hex1c7a6dfa3a

122313112122 has 64 divisors (see below), whose sum is σ = 253696278528. Its totient is φ = 39272040000.

The previous prime is 122313112081. The next prime is 122313112169. The reversal of 122313112122 is 221211313221.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 65723472 + ... + 65725332.

It is an arithmetic number, because the mean of its divisors is an integer number (3964004352).

Almost surely, 2122313112122 is an apocalyptic number.

122313112122 is an abundant number, since it is smaller than the sum of its proper divisors (131383166406).

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

122313112122 is a wasteful number, since it uses less digits than its factorization.

122313112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355.

The product of its digits is 288, while the sum is 21.

Adding to 122313112122 its reverse (221211313221), we get a palindrome (343524425343).

The spelling of 122313112122 in words is "one hundred twenty-two billion, three hundred thirteen million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 31 62 93 186 307 614 921 1151 1842 1861 2302 3453 3722 5583 6906 9517 11166 19034 28551 35681 57102 57691 71362 107043 115382 173073 214086 346146 353357 571327 706714 1060071 1142654 1713981 2120142 2142011 3427962 4284022 6426033 10954067 12852066 17711137 21908134 32862201 35422274 53133411 65724402 66402341 106266822 132804682 199207023 398414046 657597377 1315194754 1972792131 3945584262 20385518687 40771037374 61156556061 122313112122