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3311121030200 = 2352191229378509
BaseRepresentation
bin110000001011101110001…
…100010101110000111000
3102201112120201101011122122
4300023232030111300320
5413222133440431300
611013035154540412
7461135444244134
oct60135614256070
912645521334578
103311121030200
111067269556625
12455873897708
131b0311680c49
14b638b0123c4
155b1e33ecc85
hex302ee315c38

3311121030200 has 96 divisors (see below), whose sum is σ = 7772475744000. Its totient is φ = 1311757324800.

The previous prime is 3311121030071. The next prime is 3311121030211. The reversal of 3311121030200 is 20301211133.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 8558546 + ... + 8937054.

It is an arithmetic number, because the mean of its divisors is an integer number (80963289000).

Almost surely, 23311121030200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3311121030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886237872000).

3311121030200 is an abundant number, since it is smaller than the sum of its proper divisors (4461354713800).

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

3311121030200 is a wasteful number, since it uses less digits than its factorization.

3311121030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378945 (or 378936 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 3311121030200 its reverse (20301211133), we get a palindrome (3331422241333).

The spelling of 3311121030200 in words is "three trillion, three hundred eleven billion, one hundred twenty-one million, thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 191 200 229 382 458 764 916 955 1145 1528 1832 1910 2290 3820 4580 4775 5725 7640 9160 9550 11450 19100 22900 38200 43739 45800 87478 174956 218695 349912 378509 437390 757018 874780 1093475 1514036 1749560 1892545 2186950 3028072 3785090 4373900 7570180 8747800 9462725 15140360 18925450 37850900 72295219 75701800 86678561 144590438 173357122 289180876 346714244 361476095 433392805 578361752 693428488 722952190 866785610 1445904380 1733571220 1807380475 2166964025 2891808760 3467142440 3614760950 4333928050 7229521900 8667856100 14459043800 16555605151 17335712200 33111210302 66222420604 82778025755 132444841208 165556051510 331112103020 413890128775 662224206040 827780257550 1655560515100 3311121030200