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132220316620521 = 33192753425322013
BaseRepresentation
bin11110000100000011110001…
…000000010001011011101001
3122100011010202012110002012000
4132010003301000101123221
5114312244202023324041
61145113101440441213
736564413463452403
oct3604036100213351
9570133665402160
10132220316620521
1139147359834988
12129b5224619209
1358a14262b026c
1424916d70b3b73
151044549459bb6
hex7840f10116e9

132220316620521 has 64 divisors (see below), whose sum is σ = 206324295379200. Its totient is φ = 83453815959552.

The previous prime is 132220316620493. The next prime is 132220316620531. The reversal of 132220316620521 is 125026613022231.

132220316620521 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 2 + 0 + 3 + 1 + 6 + 620 + 5 + 21 = 666.

It is not a de Polignac number, because 132220316620521 - 214 = 132220316604137 is a prime.

It is a super-2 number, since 2×1322203166205212 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132220316620531) 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 63 ways as a sum of consecutive naturals, for example, 6006454111 + ... + 6006476123.

It is an arithmetic number, because the mean of its divisors is an integer number (3223817115300).

Almost surely, 2132220316620521 is an apocalyptic number.

It is an amenable number.

132220316620521 is a deficient number, since it is larger than the sum of its proper divisors (74103978758679).

132220316620521 is a wasteful number, since it uses less digits than its factorization.

132220316620521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29047 (or 29041 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 132220316620521 its reverse (125026613022231), we get a palindrome (257246929642752).

The spelling of 132220316620521 in words is "one hundred thirty-two trillion, two hundred twenty billion, three hundred sixteen million, six hundred twenty thousand, five hundred twenty-one".

Divisors: 1 3 9 19 27 57 171 513 2753 4253 8259 12759 22013 24777 38277 52307 66039 74331 80807 114831 156921 198117 242421 418247 470763 594351 727263 1254741 1412289 2181789 3764223 11292669 11708509 35125527 60601789 93621289 105376581 181805367 222461671 280863867 316129743 545416101 667385013 842591601 1151433991 1636248303 1778804491 2002155039 2527774803 3454301973 5336413473 6006465117 10362905919 16009240419 31088717757 48027721257 257739408617 773218225851 2319654677553 4897048763723 6958964032659 14691146291169 44073438873507 132220316620521