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132323132322 = 23217538159029
BaseRepresentation
bin111101100111100010…
…0101100001110100010
3110122112211022121001200
41323033010230032202
54131444210213242
6140442143542030
712363043031613
oct1731704541642
9418484277050
10132323132322
1151132a5a8a7
122178a8ba916
13c62a288a44
146593c39c0a
153696ca404c
hex1ecf12c3a2

132323132322 has 48 divisors (see below), whose sum is σ = 309292509240. Its totient is φ = 40729867776.

The previous prime is 132323132317. The next prime is 132323132329. The reversal of 132323132322 is 223231323231.

132323132322 is a `hidden beast` number, since 1 + 3 + 2 + 323 + 13 + 2 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 132111167841 + 211964481 = 363471^2 + 14559^2 .

It is a super-2 number, since 2×1323231323222 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (132323132329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4063297 + ... + 4095732.

Almost surely, 2132323132322 is an apocalyptic number.

132323132322 is an abundant number, since it is smaller than the sum of its proper divisors (176969376918).

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

132323132322 is a wasteful number, since it uses less digits than its factorization.

132323132322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8159107 (or 8159104 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 132323132322 its reverse (223231323231), we get a palindrome (355554455553).

It can be divided in two parts, 1 and 32323132322, that added together give a palindrome (32323132323).

The spelling of 132323132322 in words is "one hundred thirty-two billion, three hundred twenty-three million, one hundred thirty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 53 102 106 153 159 306 318 477 901 954 1802 2703 5406 8109 16218 8159029 16318058 24477087 48954174 73431261 138703493 146862522 277406986 416110479 432428537 832220958 864857074 1248331437 1297285611 2496662874 2594571222 3891856833 7351285129 7783713666 14702570258 22053855387 44107710774 66161566161 132323132322