Search a number
-
+
3112020120132 = 22327111747642623
BaseRepresentation
bin101101010010010010110…
…110101001001001000100
3102000111200000212222200100
4231102102312221021010
5401441404122321012
610341350423244100
7440556521365440
oct55222266511104
912014600788610
103112020120132
11a9a889255a60
124231692a9630
131976016ca161
14aa8a04d1820
1555e3dd758dc
hex2d492da9244

3112020120132 has 144 divisors (see below), whose sum is σ = 9813207785472. Its totient is φ = 807852968640.

The previous prime is 3112020120127. The next prime is 3112020120137. The reversal of 3112020120132 is 2310210202113.

3112020120132 is a `hidden beast` number, since 311 + 2 + 0 + 201 + 20 + 132 = 666.

It is an interprime number because it is at equal distance from previous prime (3112020120127) and next prime (3112020120137).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3112020120137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4521373 + ... + 5163995.

It is an arithmetic number, because the mean of its divisors is an integer number (68147276288).

Almost surely, 23112020120132 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 3112020120132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906603892736).

3112020120132 is an abundant number, since it is smaller than the sum of its proper divisors (6701187665340).

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

3112020120132 is a wasteful number, since it uses less digits than its factorization.

3112020120132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644398 (or 644393 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3112020120132 its reverse (2310210202113), we get a palindrome (5422230322245).

The spelling of 3112020120132 in words is "three trillion, one hundred twelve billion, twenty million, one hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 1747 2772 3494 5241 6988 10482 12229 15723 19217 20964 24458 31446 36687 38434 48916 57651 62892 73374 76868 110061 115302 134519 146748 172953 220122 230604 269038 345906 403557 440244 538076 642623 691812 807114 1210671 1285246 1614228 1927869 2421342 2570492 3855738 4498361 4842684 5783607 7068853 7711476 8996722 11567214 13495083 14137706 17993444 21206559 23134428 26990166 28275412 40485249 42413118 49481971 53980332 63619677 80970498 84826236 98963942 127239354 148445913 161940996 197927884 254478708 296891826 445337739 593783652 890675478 1122662381 1781350956 2245324762 3367987143 4490649524 6735974286 7858636667 10103961429 12349286191 13471948572 15717273334 20207922858 23575910001 24698572382 31434546668 37047858573 40415845716 47151820002 49397144764 70727730003 74095717146 86445003337 94303640004 111143575719 141455460006 148191434292 172890006674 222287151438 259335010011 282910920012 345780013348 444574302876 518670020022 778005030033 1037340040044 1556010060066 3112020120132