Search a number
-
+
132020202132 = 223371321033313
BaseRepresentation
bin111101011110100000…
…1000110101010010100
3110121202201022010222000
41322331001012222110
54130334132432012
6140352123035300
712352404126330
oct1727501065224
9417681263860
10132020202132
1150a97a64975
122170536bb30
13c5ac5a3300
1465659027c0
15367a3b6ddc
hex1ebd046a94

132020202132 has 144 divisors (see below), whose sum is σ = 423576074880. Its totient is φ = 34818481152.

The previous prime is 132020202071. The next prime is 132020202173. The reversal of 132020202132 is 231202020231.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388893 + ... + 644420.

It is an arithmetic number, because the mean of its divisors is an integer number (2941500520).

Almost surely, 2132020202132 is an apocalyptic number.

132020202132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132020202132 is an abundant number, since it is smaller than the sum of its proper divisors (291555872748).

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

132020202132 is a wasteful number, since it uses less digits than its factorization.

132020202132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033359 (or 1033338 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 132020202132 its reverse (231202020231), we get a palindrome (363222222363).

The spelling of 132020202132 in words is "one hundred thirty-two billion, twenty million, two hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 169 182 189 234 252 273 338 351 364 378 468 507 546 676 702 756 819 1014 1092 1183 1404 1521 1638 2028 2366 2457 3042 3276 3549 4563 4732 4914 6084 7098 9126 9828 10647 14196 18252 21294 31941 42588 63882 127764 1033313 2066626 3099939 4133252 6199878 7233191 9299817 12399756 13433069 14466382 18599634 21699573 26866138 27899451 28932764 37199268 40299207 43399146 53732276 55798902 65098719 80598414 86798292 94031483 111597804 120897621 130197438 161196828 174629897 188062966 195296157 241795242 260394876 282094449 349259794 362692863 376125932 390592314 483590484 523889691 564188898 698519588 725385726 781184628 846283347 1047779382 1128377796 1222409279 1450771452 1571669073 1692566694 2095558764 2444818558 2538850041 3143338146 3385133388 3667227837 4715007219 4889637116 5077700082 6286676292 7334455674 9430014438 10155400164 11001683511 14668911348 18860028876 22003367022 33005050533 44006734044 66010101066 132020202132