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30033202311200 = 25521110837314927
BaseRepresentation
bin1101101010000101001100…
…10110101111000000100000
310221100010221111200220222202
412311002212112233000200
512414030444242424300
6143513021311552332
76216553515362264
oct665024626570040
9127303844626882
1030033202311200
11962a011816970
12345077682b6a8
13139b1710a1b3a
1475b886c220a4
15371374b0aad5
hex1b50a65af020

30033202311200 has 144 divisors (see below), whose sum is σ = 79991512965504. Its totient is φ = 10920122035200.

The previous prime is 30033202311191. The next prime is 30033202311221. The reversal of 30033202311200 is 211320233003.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 95208137 + ... + 95523063.

It is an arithmetic number, because the mean of its divisors is an integer number (555496617816).

Almost surely, 230033202311200 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 30033202311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39995756482752).

30033202311200 is an abundant number, since it is smaller than the sum of its proper divisors (49958310654304).

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

30033202311200 is a wasteful number, since it uses less digits than its factorization.

30033202311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325795 (or 325782 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 30033202311200 its reverse (211320233003), we get a palindrome (30244522544203).

The spelling of 30033202311200 in words is "thirty trillion, thirty-three billion, two hundred two million, three hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 10837 21674 43348 54185 86696 108370 119207 173392 216740 238414 270925 314927 346784 433480 476828 541850 596035 629854 866960 953656 1083700 1192070 1259708 1574635 1733920 1907312 2167400 2384140 2519416 2980175 3149270 3464197 3814624 4334800 4768280 5038832 5960350 6298540 6928394 7873175 8669600 9536560 10077664 11920700 12597080 13856788 15746350 17320985 19073120 23841400 25194160 27713576 31492700 34641970 47682800 50388320 55427152 62985400 69283940 86604925 95365600 110854304 125970800 138567880 173209850 251941600 277135760 346419700 554271520 692839400 1385678800 2771357600 3412863899 6825727798 13651455596 17064319495 27302911192 34128638990 37541502889 54605822384 68257277980 75083005778 85321597475 109211644768 136514555960 150166011556 170643194950 187707514445 273029111920 300332023112 341286389900 375415028890 546058223840 600664046224 682572779800 750830057780 938537572225 1201328092448 1365145559600 1501660115560 1877075144450 2730291119200 3003320231120 3754150288900 6006640462240 7508300577800 15016601155600 30033202311200