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121303311030 = 232511929131893
BaseRepresentation
bin111000011111000111…
…1011010001010110110
3102121002211120200010100
41300332033122022312
53441412121423110
6131420450534530
711523003063006
oct1607617321266
9377084520110
10121303311030
1147498613a80
121b614297446
13b592211425
145c2a48a006
15324e5ebbc0
hex1c3e3da2b6

121303311030 has 96 divisors (see below), whose sum is σ = 344433267360. Its totient is φ = 29374986240.

The previous prime is 121303310959. The next prime is 121303311083. The reversal of 121303311030 is 30113303121.

It is a happy number.

121303311030 is a `hidden beast` number, since 1 + 21 + 303 + 311 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121303310994 and 121303311012.

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, 853764 + ... + 985656.

It is an arithmetic number, because the mean of its divisors is an integer number (3587846535).

Almost surely, 2121303311030 is an apocalyptic number.

121303311030 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 121303311030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172216633680).

121303311030 is an abundant number, since it is smaller than the sum of its proper divisors (223129956330).

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

121303311030 is a wasteful number, since it uses less digits than its factorization.

121303311030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132846 (or 132843 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 121303311030 its reverse (30113303121), we get a palindrome (151416614151).

The spelling of 121303311030 in words is "one hundred twenty-one billion, three hundred three million, three hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 929 990 1858 2787 4645 5574 8361 9290 10219 13935 16722 20438 27870 30657 41805 51095 61314 83610 91971 102190 131893 153285 183942 263786 306570 395679 459855 659465 791358 919710 1187037 1318930 1450823 1978395 2374074 2901646 3956790 4352469 5935185 7254115 8704938 11870370 13057407 14508230 21762345 26114814 43524690 65287035 122528597 130574070 245057194 367585791 612642985 735171582 1102757373 1225285970 1347814567 1837928955 2205514746 2695629134 3675857910 4043443701 5513786865 6739072835 8086887402 11027573730 12130331103 13478145670 20217218505 24260662206 40434437010 60651655515 121303311030