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132322012232 = 23294197143413
BaseRepresentation
bin111101100111100000…
…0011010110001001000
3110122112202012200120212
41323033000122301020
54131443413342412
6140442103540252
712363030355214
oct1731700326110
9418482180525
10132322012232
1151132365303
122178a45a688
13c629c85c77
146593a27944
153696b32222
hex1ecf01ac48

132322012232 has 64 divisors (see below), whose sum is σ = 265631410800. Its totient is φ = 61678632960.

The previous prime is 132322012183. The next prime is 132322012309. The reversal of 132322012232 is 232210223231.

It can be written as a sum of positive squares in 8 ways, for example, as 70993470916 + 61328541316 = 266446^2 + 247646^2 .

It is a super-2 number, since 2×1323220122322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132322012198 and 132322012207.

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 15 ways as a sum of consecutive naturals, for example, 850958 + ... + 994370.

Almost surely, 2132322012232 is an apocalyptic number.

It is an amenable number.

132322012232 is an abundant number, since it is smaller than the sum of its proper divisors (133309398568).

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

132322012232 is a wasteful number, since it uses less digits than its factorization.

132322012232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143586 (or 143582 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 132322012232 its reverse (232210223231), we get a palindrome (364532235463).

The spelling of 132322012232 in words is "one hundred thirty-two billion, three hundred twenty-two million, twelve thousand, two hundred thirty-two".

Divisors: 1 2 4 8 29 41 58 82 97 116 164 194 232 328 388 776 1189 2378 2813 3977 4756 5626 7954 9512 11252 15908 22504 31816 115333 143413 230666 286826 461332 573652 922664 1147304 4158977 5879933 8317954 11759866 13911061 16635908 23519732 27822122 33271816 47039464 55644244 111288488 170518057 341036114 403420769 570353501 682072228 806841538 1140707002 1364144456 1613683076 2281414004 3227366152 4562828008 16540251529 33080503058 66161006116 132322012232