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132121132020 = 223351012422463
BaseRepresentation
bin111101100001100001…
…0000111101111110100
3110122000202012220202000
41323003002013233310
54131041002211040
6140410130215300
712355041043503
oct1730302075764
9418022186660
10132121132020
1151039a30aa9
1221733124530
13c5c7481137
14657509683a
1536841a2130
hex1ec3087bf4

132121132020 has 96 divisors (see below), whose sum is σ = 415113431040. Its totient is φ = 34883452800.

The previous prime is 132121132009. The next prime is 132121132021. The reversal of 132121132020 is 20231121231.

132121132020 is a `hidden beast` number, since 1 + 321 + 2 + 1 + 1 + 320 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 132121131984 and 132121132002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132121132021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1156692 + ... + 1265771.

It is an arithmetic number, because the mean of its divisors is an integer number (4324098240).

Almost surely, 2132121132020 is an apocalyptic number.

132121132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132121132020 is an abundant number, since it is smaller than the sum of its proper divisors (282992299020).

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

132121132020 is a wasteful number, since it uses less digits than its factorization.

132121132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422582 (or 2422574 counting only the distinct ones).

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

Adding to 132121132020 its reverse (20231121231), we get a palindrome (152352253251).

The spelling of 132121132020 in words is "one hundred thirty-two billion, one hundred twenty-one million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 101 108 135 180 202 270 303 404 505 540 606 909 1010 1212 1515 1818 2020 2727 3030 3636 4545 5454 6060 9090 10908 13635 18180 27270 54540 2422463 4844926 7267389 9689852 12112315 14534778 21802167 24224630 29069556 36336945 43604334 48449260 65406501 72673890 87208668 109010835 130813002 145347780 218021670 244668763 261626004 327032505 436043340 489337526 654065010 734006289 978675052 1223343815 1308130020 1468012578 2202018867 2446687630 2936025156 3670031445 4404037734 4893375260 6606056601 7340062890 8808075468 11010094335 13212113202 14680125780 22020188670 26424226404 33030283005 44040377340 66060566010 132121132020