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132220210133102 = 2713191991355314177
BaseRepresentation
bin11110000100000011101010…
…101010000011100001101110
3122100011010110210001221220112
4132010003222222003201232
5114312243442243224402
61145113043114220022
736564411031360430
oct3604035252034156
9570133423057815
10132220210133102
1139147304712353
12129b51b4a24612
1358a140a207960
1424916c6cb4650
15104453ee22e52
hex7840eaa8386e

132220210133102 has 128 divisors (see below), whose sum is σ = 258274614528000. Its totient is φ = 49297771708416.

The previous prime is 132220210133059. The next prime is 132220210133153. The reversal of 132220210133102 is 201331012022231.

It is a super-2 number, since 2×1322202101331022 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9326381438 + ... + 9326395614.

It is an arithmetic number, because the mean of its divisors is an integer number (2017770426000).

Almost surely, 2132220210133102 is an apocalyptic number.

132220210133102 is a deficient number, since it is larger than the sum of its proper divisors (126054404394898).

132220210133102 is a wasteful number, since it uses less digits than its factorization.

132220210133102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27970.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 132220210133102 its reverse (201331012022231), we get a palindrome (333551222155333).

The spelling of 132220210133102 in words is "one hundred thirty-two trillion, two hundred twenty billion, two hundred ten million, one hundred thirty-three thousand, one hundred two".

Divisors: 1 2 7 13 14 19 26 38 91 133 182 199 247 266 398 494 1393 1729 2587 2786 3458 3781 5174 7562 13553 14177 18109 26467 27106 28354 36218 49153 52934 94871 98306 99239 176189 184301 189742 198478 257507 269363 344071 352378 368602 515014 538726 688142 1233323 1290107 1802549 1885541 2466646 2580214 2697047 2821223 3347591 3501719 3605098 3771082 5394094 5642446 6695182 7003438 18879329 19748561 23433137 24512033 35061611 36675899 37758658 39497122 46866274 49024066 51243893 53603237 70123222 73351798 102487786 107206474 192140881 245431277 256731293 358707251 375222659 384281762 490862554 513462586 666170609 696842081 717414502 750445318 1332341218 1344986167 1393684162 2497831453 2689972334 3650676739 4663194263 4877894567 4995662906 7301353478 9326388526 9755789134 17484820171 25554737173 34969640342 38236035319 47458797607 51109474346 76472070638 94917595214 267652247233 332211583249 497068459147 535304494466 664423166498 726484671061 994136918294 1452969342122 3479479214029 5085392697427 6958958428058 9444300723793 10170785394854 18888601447586 66110105066551 132220210133102