Search a number
-
+
132220316662161 = 371331100915483983
BaseRepresentation
bin11110000100000011110001…
…000000011011100110010001
3122100011010202012112012022020
4132010003301000123212101
5114312244202031142121
61145113101441402053
736564413464014660
oct3604036100334621
9570133665465266
10132220316662161
11391473598631a2
12129b5224639329
1358a14262c61c0
1424916d70c4dd7
1510445494671c6
hex7840f101b991

132220316662161 has 64 divisors (see below), whose sum is σ = 224198178570240. Its totient is φ = 67425928657920.

The previous prime is 132220316662097. The next prime is 132220316662163. The reversal of 132220316662161 is 161266613022231.

It is not a de Polignac number, because 132220316662161 - 26 = 132220316662097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132220316662163) 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, 797176 + ... + 16281158.

It is an arithmetic number, because the mean of its divisors is an integer number (3503096540160).

Almost surely, 2132220316662161 is an apocalyptic number.

It is an amenable number.

132220316662161 is a deficient number, since it is larger than the sum of its proper divisors (91977861908079).

132220316662161 is a wasteful number, since it uses less digits than its factorization.

132220316662161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15485046.

The product of its (nonzero) digits is 186624, while the sum is 42.

Adding to 132220316662161 its reverse (161266613022231), we get a palindrome (293486929684392).

The spelling of 132220316662161 in words is "one hundred thirty-two trillion, two hundred twenty billion, three hundred sixteen million, six hundred sixty-two thousand, one hundred sixty-one".

Divisors: 1 3 7 13 21 31 39 91 93 217 273 403 651 1009 1209 2821 3027 7063 8463 13117 21189 31279 39351 91819 93837 218953 275457 406627 656859 1219881 2846389 8539167 15483983 46451949 108387881 201291779 325163643 480003473 603875337 1409042453 1440010419 3360024311 4227127359 6240045149 10080072933 15623338847 18720135447 43680316043 46870016541 109363371929 131040948129 203103405011 328090115787 484323504257 609310215033 1421723835077 1452970512771 3390264529799 4265171505231 6296205555341 10170793589397 18888616666023 44073438887387 132220316662161