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121113022011330 = 235232691129577957
BaseRepresentation
bin11011100010011011010010…
…101001111001011111000010
3120212211021212202001112000010
4123202123102221321133002
5111333303432113330310
61105330315413205350
734340061406163256
oct3342332251713702
9525737782045003
10121113022011330
1135654820574038
1211700622030856
135276ba801269b
1421c9c89b92266
15e00663455320
hex6e26d2a797c2

121113022011330 has 128 divisors (see below), whose sum is σ = 304706855462400. Its totient is φ = 30750440269824.

The previous prime is 121113022011301. The next prime is 121113022011349. The reversal of 121113022011330 is 33110220311121.

121113022011330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121113022011297 and 121113022011306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209264712 + ... + 209842668.

It is an arithmetic number, because the mean of its divisors is an integer number (2380522308300).

Almost surely, 2121113022011330 is an apocalyptic number.

121113022011330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121113022011330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152353427731200).

121113022011330 is an abundant number, since it is smaller than the sum of its proper divisors (183593833451070).

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

121113022011330 is a wasteful number, since it uses less digits than its factorization.

121113022011330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579388.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 121113022011330 its reverse (33110220311121), we get a palindrome (154223242322451).

The spelling of 121113022011330 in words is "one hundred twenty-one trillion, one hundred thirteen billion, twenty-two million, eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 269 345 538 690 807 1129 1345 1614 2258 2690 3387 4035 5645 6187 6774 8070 11290 12374 16935 18561 25967 30935 33870 37122 51934 61870 77901 92805 129835 155802 185610 259670 303701 389505 577957 607402 779010 911103 1155914 1518505 1733871 1822206 2889785 3037010 3467742 4555515 5779570 6985123 8669355 9111030 13293011 13970246 17338710 20955369 26586022 34925615 39879033 41910738 66465055 69851230 79758066 104776845 132930110 155470433 199395165 209553690 310940866 398790330 466411299 652513453 777352165 932822598 1305026906 1554704330 1957540359 2332056495 3262567265 3575819959 3915080718 4664112990 6525134530 7151639918 9787701795 10727459877 15007809419 17879099795 19575403590 21454919754 30015618838 35758199590 45023428257 53637299385 75039047095 90046856514 107274598770 150078094190 175526118857 225117141285 351052237714 450234282570 526578356571 877630594285 1053156713142 1755261188570 2632891782855 4037100733711 5265783565710 8074201467422 12111302201133 20185503668555 24222604402266 40371007337110 60556511005665 121113022011330