Search a number
-
+
132365320122012 = 22359431433999971
BaseRepresentation
bin11110000110001010110011…
…111000101110111010011100
3122100200000000202010011122020
4132012022303320232322130
5114322133133422401022
61145303442201020140
736611036012051535
oct3606126370567234
9570600022104566
10132365320122012
11391a28a94a781a
1212a19351a84650
1358b1cc4658813
14249873103568c
1510481d457535c
hex7862b3e2ee9c

132365320122012 has 96 divisors (see below), whose sum is σ = 314891645644800. Its totient is φ = 43262905233600.

The previous prime is 132365320121999. The next prime is 132365320122019. The reversal of 132365320122012 is 210221023563231.

It is a super-3 number, since 3×1323653201220123 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132365320122019) 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, 1323987187 + ... + 1324087157.

It is an arithmetic number, because the mean of its divisors is an integer number (3280121308800).

Almost surely, 2132365320122012 is an apocalyptic number.

132365320122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132365320122012 is an abundant number, since it is smaller than the sum of its proper divisors (182526325522788).

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

132365320122012 is a wasteful number, since it uses less digits than its factorization.

132365320122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104807 (or 104805 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 132365320122012 its reverse (210221023563231), we get a palindrome (342586343685243).

The spelling of 132365320122012 in words is "one hundred thirty-two trillion, three hundred sixty-five billion, three hundred twenty million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 59 118 177 236 354 431 708 862 1293 1724 2586 4339 5172 8678 13017 17356 25429 26034 50858 52068 76287 99971 101716 152574 199942 256001 299913 305148 399884 512002 599826 768003 1024004 1199652 1536006 1870109 3072012 3740218 5610327 5898289 7480436 11220654 11796578 17694867 22441308 23593156 35389734 43087501 70779468 86175002 110336431 129262503 172350004 220672862 258525006 331009293 433774169 441345724 517050012 662018586 867548338 1301322507 1324037172 1735096676 2542162559 2602645014 5084325118 5205290028 7626487677 10168650236 15252975354 25592675971 30505950708 51185351942 76778027913 102370703884 153556055826 186956666839 307112111652 373913333678 560870000517 747826667356 1121740001034 2243480002068 11030443343501 22060886687002 33091330030503 44121773374004 66182660061006 132365320122012