Search a number
-
+
122320113312 = 2539738334297
BaseRepresentation
bin111000111101011011…
…0001100111010100000
3102200201200212120122010
41301322312030322200
54001002422111222
6132105412312520
711560130544105
oct1617266147240
9380650776563
10122320113312
114796a573641
121b858912740
13b6c4a82397
145cc552caac
1532ad9eb80c
hex1c7ad8cea0

122320113312 has 96 divisors (see below), whose sum is σ = 325256988672. Its totient is φ = 40246493184.

The previous prime is 122320113301. The next prime is 122320113323. The reversal of 122320113312 is 213311023221.

It is an interprime number because it is at equal distance from previous prime (122320113301) and next prime (122320113323).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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, 3549348 + ... + 3583644.

It is an arithmetic number, because the mean of its divisors is an integer number (3388093632).

Almost surely, 2122320113312 is an apocalyptic number.

122320113312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122320113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162628494336).

122320113312 is an abundant number, since it is smaller than the sum of its proper divisors (202936875360).

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

122320113312 is a wasteful number, since it uses less digits than its factorization.

122320113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34790 (or 34782 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 122320113312 its reverse (213311023221), we get a palindrome (335631136533).

Subtracting 122320113312 from its reverse (213311023221), we obtain a palindrome (90990909909).

The spelling of 122320113312 in words is "one hundred twenty-two billion, three hundred twenty million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 383 388 582 766 776 1149 1164 1532 1552 2298 2328 3064 3104 4596 4656 6128 9192 9312 12256 18384 34297 36768 37151 68594 74302 102891 111453 137188 148604 205782 222906 274376 297208 411564 445812 548752 594416 823128 891624 1097504 1188832 1646256 1783248 3292512 3326809 3566496 6653618 9980427 13135751 13307236 19960854 26271502 26614472 39407253 39921708 52543004 53228944 78814506 79843416 105086008 106457888 157629012 159686832 210172016 315258024 319373664 420344032 630516048 1261032096 1274167847 2548335694 3822503541 5096671388 7645007082 10193342776 15290014164 20386685552 30580028328 40773371104 61160056656 122320113312