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1231020120132 = 22321111350215479
BaseRepresentation
bin10001111010011110100…
…001000101100001000100
311100200110220112111002200
4101322132201011201010
5130132112122321012
62341304533234500
7154636553242035
oct21723641054104
94320426474080
101231020120132
11435088846510
1217a6b6192a30
138c114112c8a
144382023aa8c
152204d16c3dc
hex11e9e845844

1231020120132 has 144 divisors (see below), whose sum is σ = 3425979473280. Its totient is φ = 369594086400.

The previous prime is 1231020120119. The next prime is 1231020120151. The reversal of 1231020120132 is 2310210201321.

1231020120132 is a `hidden beast` number, since 1 + 2 + 310 + 201 + 20 + 132 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224676969 + ... + 224682447.

It is an arithmetic number, because the mean of its divisors is an integer number (23791524120).

Almost surely, 21231020120132 is an apocalyptic number.

1231020120132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1231020120132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712989736640).

1231020120132 is an abundant number, since it is smaller than the sum of its proper divisors (2194959353148).

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

1231020120132 is a wasteful number, since it uses less digits than its factorization.

1231020120132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10634 (or 10629 counting only the distinct ones).

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

Adding to 1231020120132 its reverse (2310210201321), we get a palindrome (3541230321453).

The spelling of 1231020120132 in words is "one trillion, two hundred thirty-one billion, twenty million, one hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 113 132 198 226 339 396 452 678 1017 1243 1356 2034 2486 3729 4068 4972 5021 5479 7458 10042 10958 11187 14916 15063 16437 20084 21916 22374 30126 32874 44748 45189 49311 55231 60252 60269 65748 90378 98622 110462 120538 165693 180756 180807 197244 220924 241076 331386 361614 497079 542421 567373 619127 662772 723228 994158 1084842 1134746 1238254 1702119 1857381 1988316 2169684 2269492 2476508 3404238 3714762 5106357 5572143 6241103 6808476 6810397 7429524 10212714 11144286 12482206 13620794 18723309 20425428 20431191 22288572 24964412 27241588 27510059 37446618 40862382 55020118 56169927 61293573 74893236 81724764 82530177 110040236 112339854 122587146 165060354 224679708 245174292 247590531 302610649 330120708 495181062 605221298 907831947 990362124 1210442596 1815663894 2723495841 3108636667 3631327788 5446991682 6217273334 9325910001 10893983364 12434546668 18651820002 27977730003 34195003337 37303640004 55955460006 68390006674 102585010011 111910920012 136780013348 205170020022 307755030033 410340040044 615510060066 1231020120132