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121100010330 = 235134311936053
BaseRepresentation
bin111000011001000011…
…1111000001101011010
3102120120200000220222210
41300302013320031122
53441003100312310
6131344345255550
711514654050415
oct1606207701532
9376520026883
10121100010330
11473a3887172
121b5781945b6
13b55c06c960
145c0b488b7c
15323b83e820
hex1c321f835a

121100010330 has 128 divisors (see below), whose sum is σ = 320597367552. Its totient is φ = 29086783488.

The previous prime is 121100010329. The next prime is 121100010337. The reversal of 121100010330 is 33010001121.

It is a super-2 number, since 2×1211000103302 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121100010337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20003584 + ... + 20009636.

It is an arithmetic number, because the mean of its divisors is an integer number (2504666934).

Almost surely, 2121100010330 is an apocalyptic number.

121100010330 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 121100010330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160298683776).

121100010330 is an abundant number, since it is smaller than the sum of its proper divisors (199497357222).

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

121100010330 is a wasteful number, since it uses less digits than its factorization.

121100010330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7312.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 121100010330 its reverse (33010001121), we get a palindrome (154110011451).

The spelling of 121100010330 in words is "one hundred twenty-one billion, one hundred million, ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 43 65 78 86 129 130 195 215 258 390 430 559 645 1118 1193 1290 1677 2386 2795 3354 3579 5590 5965 6053 7158 8385 11930 12106 15509 16770 17895 18159 30265 31018 35790 36318 46527 51299 60530 77545 78689 90795 93054 102598 153897 155090 157378 181590 232635 236067 256495 260279 307794 393445 465270 472134 512990 520558 666887 769485 780837 786890 1180335 1301395 1333774 1538970 1561674 2000661 2360670 2602790 3334435 3383627 3904185 4001322 6668870 6767254 7221229 7808370 10003305 10150881 14442458 16918135 20006610 20301762 21663687 33836270 36106145 43327374 50754405 72212290 93875977 101508810 108318435 187751954 216636870 281627931 310512847 469379885 563255862 621025694 931538541 938759770 1408139655 1552564235 1863077082 2816279310 3105128470 4036667011 4657692705 8073334022 9315385410 12110001033 20183335055 24220002066 40366670110 60550005165 121100010330