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331212222021132 = 223317191944496407
BaseRepresentation
bin100101101001111000101101…
…0110101101011111000001100
31121102201120122020020110102000
41023103301122311223320030
5321403040112314134012
63132232443320232300
7126523202424301104
oct11323613265537014
91542646566213360
10331212222021132
1196597350711a81
123119319300b690
13112a724228ac1a
145bb0a85600204
1528458cb2ecddc
hex12d3c5ad6be0c

331212222021132 has 96 divisors (see below), whose sum is σ = 913970284093440. Its totient is φ = 103365686672640.

The previous prime is 331212222021073. The next prime is 331212222021151. The reversal of 331212222021132 is 231120222212133.

331212222021132 is a `hidden beast` number, since 3 + 3 + 121 + 222 + 202 + 113 + 2 = 666.

It is a super-2 number, since 2×3312122220211322 (a number of 30 digits) contains 22 as substring.

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 = 331212222021096 and 331212222021105.

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, 471897528 + ... + 472598879.

It is an arithmetic number, because the mean of its divisors is an integer number (9520523792640).

Almost surely, 2331212222021132 is an apocalyptic number.

It is an amenable number.

331212222021132 is an abundant number, since it is smaller than the sum of its proper divisors (582758062072308).

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

331212222021132 is a wasteful number, since it uses less digits than its factorization.

331212222021132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944496628 (or 944496620 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 331212222021132 its reverse (231120222212133), we get a palindrome (562332444233265).

The spelling of 331212222021132 in words is "three hundred thirty-one trillion, two hundred twelve billion, two hundred twenty-two million, twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 191 204 306 382 459 573 612 764 918 1146 1719 1836 2292 3247 3438 5157 6494 6876 9741 10314 12988 19482 20628 29223 38964 58446 87669 116892 175338 350676 944496407 1888992814 2833489221 3777985628 5666978442 8500467663 11333956884 16056438919 17000935326 25501402989 32112877838 34001870652 48169316757 51002805978 64225755676 96338633514 102005611956 144507950271 180398813737 192677267028 289015900542 360797627474 433523850813 541196441211 578031801084 721595254948 867047701626 1082392882422 1623589323633 1734095403252 2164785764844 3066779833529 3247178647266 4870767970899 6133559667058 6494357294532 9200339500587 9741535941798 12267119334116 18400679001174 19483071883596 27601018501761 36801358002348 55202037003522 82803055505283 110404074007044 165606111010566 331212222021132