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132323431242 = 231931415317231
BaseRepresentation
bin111101100111100010…
…1110101001101001010
3110122112211212210002210
41323033011311031022
54131444244244432
6140442154205550
712363045415242
oct1731705651512
9418484783083
10132323431242
1151133144442
122178aa238b6
13c62a361b12
146593cb6b22
153696d128cc
hex1ecf17534a

132323431242 has 128 divisors (see below), whose sum is σ = 300151111680. Its totient is φ = 38705472000.

The previous prime is 132323431241. The next prime is 132323431259. The reversal of 132323431242 is 242134323231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (132323431241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7670767 + ... + 7687997.

It is an arithmetic number, because the mean of its divisors is an integer number (2344930560).

Almost surely, 2132323431242 is an apocalyptic number.

132323431242 is an abundant number, since it is smaller than the sum of its proper divisors (167827680438).

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

132323431242 is a wasteful number, since it uses less digits than its factorization.

132323431242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17380.

The product of its digits is 20736, while the sum is 30.

Adding to 132323431242 its reverse (242134323231), we get a palindrome (374457754473).

The spelling of 132323431242 in words is "one hundred thirty-two billion, three hundred twenty-three million, four hundred thirty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 19 31 38 41 53 57 62 82 93 106 114 123 159 186 246 318 589 779 1007 1178 1271 1558 1643 1767 2014 2173 2337 2542 3021 3286 3534 3813 4346 4674 4929 6042 6519 7626 9858 13038 17231 24149 31217 34462 41287 48298 51693 62434 67363 72447 82574 93651 103386 123861 134726 144894 187302 202089 247722 327389 404178 534161 654778 706471 913243 982167 1068322 1279897 1412942 1602483 1826486 1964334 2119413 2559794 2739729 3204966 3839691 4238826 5479458 7679382 10149059 13422949 17351617 20298118 21900601 26845898 28310533 30447177 34703234 37442963 40268847 43801202 52054851 56621066 60894354 65701803 74885926 80537694 84931599 104109702 112328889 131403606 169863198 224657778 416111419 537900127 711416297 832222838 1075800254 1160731853 1248334257 1422832594 1613700381 2134248891 2321463706 2496668514 3227400762 3482195559 4268497782 6964391118 22053905207 44107810414 66161715621 132323431242