Search a number
-
+
330120231310332 = 223321419833145193
BaseRepresentation
bin100101100001111100001101…
…1000111101101001111111100
31121021212012000112001201222000
41023003320123013231033330
5321232142213203412312
63130035050213422300
7126351254035352661
oct11303703307551774
91537765015051860
10330120231310332
11962062273a3561
123103761963a990
1311228286928c38
145b73c93b3ba68
1528272b8a7eadc
hex12c3e1b1ed3fc

330120231310332 has 96 divisors (see below), whose sum is σ = 856359996528960. Its totient is φ = 109976737397760.

The previous prime is 330120231310279. The next prime is 330120231310369. The reversal of 330120231310332 is 233013132021033.

330120231310332 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 2 + 0 + 2 + 313 + 10 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 330120231310296 and 330120231310305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2273592328 + ... + 2273737520.

It is an arithmetic number, because the mean of its divisors is an integer number (8920416630510).

Almost surely, 2330120231310332 is an apocalyptic number.

It is an amenable number.

330120231310332 is an abundant number, since it is smaller than the sum of its proper divisors (526239765218628).

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

330120231310332 is a wasteful number, since it uses less digits than its factorization.

330120231310332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157180 (or 157172 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 330120231310332 its reverse (233013132021033), we get a palindrome (563133363331365).

The spelling of 330120231310332 in words is "three hundred thirty trillion, one hundred twenty billion, two hundred thirty-one million, three hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2141 4282 6423 8564 9833 12846 19269 19666 25692 29499 38538 39332 57807 58998 77076 88497 115614 117996 145193 176994 231228 265491 290386 353988 435579 530982 580772 871158 1061964 1306737 1742316 2613474 3920211 5226948 7840422 15680844 21052453 42104906 63157359 84209812 126314718 189472077 252629436 310858213 378944154 568416231 621716426 757888308 932574639 1136832462 1243432852 1427682769 1865149278 2273664924 2797723917 2855365538 3730298556 4283048307 5595447834 5710731076 8393171751 8566096614 11190895668 12849144921 16786343502 17132193228 25698289842 33572687004 38547434763 51396579684 77094869526 154189739052 3056668808429 6113337616858 9170006425287 12226675233716 18340012850574 27510019275861 36680025701148 55020038551722 82530057827583 110040077103444 165060115655166 330120231310332