Search a number
-
+
122221121110 = 251123110132261
BaseRepresentation
bin111000111010011110…
…0100100111001010110
3102200110210121020212021
41301310330210321112
54000302101333420
6132051514443354
711554516250104
oct1616474447126
9380423536767
10122221121110
1147919700300
121b82b73355a
13b6aa40250a
145cb6320c74
1532a4e957aa
hex1c74f24e56

122221121110 has 96 divisors (see below), whose sum is σ = 252095784192. Its totient is φ = 42583200000.

The previous prime is 122221121083. The next prime is 122221121131. The reversal of 122221121110 is 11121122221.

122221121110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3772380 + ... + 3804640.

It is an arithmetic number, because the mean of its divisors is an integer number (2625997752).

Almost surely, 2122221121110 is an apocalyptic number.

122221121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122221121110 is an abundant number, since it is smaller than the sum of its proper divisors (129874663082).

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

122221121110 is a wasteful number, since it uses less digits than its factorization.

122221121110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32422 (or 32411 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122221121110 its reverse (11121122221), we get a palindrome (133342243331).

The spelling of 122221121110 in words is "one hundred twenty-two billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 31 55 62 101 110 121 155 202 242 310 341 505 605 682 1010 1111 1210 1705 2222 3131 3410 3751 5555 6262 7502 11110 12221 15655 18755 24442 31310 32261 34441 37510 61105 64522 68882 122210 161305 172205 322610 344410 354871 378851 709742 757702 1000091 1774355 1894255 2000182 3258361 3548710 3788510 3903581 5000455 6516722 7807162 10000910 11001001 16291805 19517905 22002002 32583610 35841971 39035810 55005005 71683942 101009191 110010010 121011011 179209855 202018382 242022022 358419710 394261681 505045955 605055055 788523362 1010091910 1111101101 1210110110 1971308405 2222202202 3942616810 5555505505 11111011010 12222112111 24444224222 61110560555 122221121110