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122313355332 = 223729461108917
BaseRepresentation
bin111000111101001110…
…0011011000001000100
3102200201020011020102120
41301322130123001010
54000444204332312
6132105011405540
711560016236410
oct1617234330104
9380636136376
10122313355332
1147966778233
121b8565b38b0
13b6c355738c
145cc468dd40
1532ad11428c
hex1c7a71b044

122313355332 has 96 divisors (see below), whose sum is σ = 338151179520. Its totient is φ = 33668113920.

The previous prime is 122313355331. The next prime is 122313355343. The reversal of 122313355332 is 233553313221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122313355293 and 122313355302.

It is not an unprimeable number, because it can be changed into a prime (122313355331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1068538 + ... + 1177454.

It is an arithmetic number, because the mean of its divisors is an integer number (3522408120).

Almost surely, 2122313355332 is an apocalyptic number.

122313355332 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 122313355332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169075589760).

122313355332 is an abundant number, since it is smaller than the sum of its proper divisors (215837824188).

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

122313355332 is a wasteful number, since it uses less digits than its factorization.

122313355332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109421 (or 109419 counting only the distinct ones).

The product of its digits is 48600, while the sum is 33.

Adding to 122313355332 its reverse (233553313221), we get a palindrome (355866668553).

The spelling of 122313355332 in words is "one hundred twenty-two billion, three hundred thirteen million, three hundred fifty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 461 609 812 922 1218 1383 1844 2436 2766 3227 5532 6454 9681 12908 13369 19362 26738 38724 40107 53476 80214 93583 108917 160428 187166 217834 280749 326751 374332 435668 561498 653502 762419 1122996 1307004 1524838 2287257 3049676 3158593 4574514 6317186 9149028 9475779 12634372 18951558 22110151 37903116 44220302 50210737 66330453 88440604 100421474 132660906 150632211 200842948 265321812 301264422 351475159 602528844 702950318 1054425477 1405900636 1456111373 2108850954 2912222746 4217701908 4368334119 5824445492 8736668238 10192779611 17473336476 20385559222 30578338833 40771118444 61156677666 122313355332