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132050522101134 = 237138631613173741
BaseRepresentation
bin11110000001100101101000…
…011101100101010110001110
3122022112220110221002210110210
4132001211220131211112032
5114302003432124214014
61144503101122543250
736546223016036160
oct3601455035452616
9568486427083423
10132050522101134
11390913481a33aa
1212988338807b26
13588b406aabc50
1424873ca848930
15103ee0cb9c859
hex78196876558e

132050522101134 has 128 divisors (see below), whose sum is σ = 325627712299008. Its totient is φ = 34764389936640.

The previous prime is 132050522101129. The next prime is 132050522101241. The reversal of 132050522101134 is 431101225050231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 759955504 + ... + 760129244.

It is an arithmetic number, because the mean of its divisors is an integer number (2543966502336).

Almost surely, 2132050522101134 is an apocalyptic number.

132050522101134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132050522101134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162813856149504).

132050522101134 is an abundant number, since it is smaller than the sum of its proper divisors (193577190197874).

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

132050522101134 is a wasteful number, since it uses less digits than its factorization.

132050522101134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176242.

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 132050522101134 its reverse (431101225050231), we get a palindrome (563151747151365).

The spelling of 132050522101134 in words is "one hundred thirty-two trillion, fifty billion, five hundred twenty-two million, one hundred one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 863 1613 1726 2589 3226 4839 5178 6041 9678 11219 11291 12082 18123 20969 22438 22582 33657 33873 36246 41938 62907 67314 67746 78533 125814 146783 157066 173741 235599 293566 347482 440349 471198 521223 880698 1042446 1216187 1392019 2258633 2432374 2784038 3648561 4176057 4517266 6775899 7297122 8352114 9744133 13551798 15810431 18096247 19488266 29232399 31620862 36192494 47431293 54288741 58464798 94862586 108577482 126673729 149938483 253347458 280244233 299876966 380021187 449815449 560488466 760042374 840732699 899630898 1049569381 1681465398 1949200279 1961709631 2099138762 3148708143 3643175029 3898400558 3923419262 5847600837 5885128893 6297416286 7286350058 10929525087 11695201674 11770257786 13644401953 21859050174 25502225203 27288803906 40933205859 51004450406 76506675609 81866411718 153013351218 241850773079 483701546158 725552319237 1451104638474 1692955411553 3144060050027 3385910823106 5078866234659 6288120100054 9432180150081 10157732469318 18864360300162 22008420350189 44016840700378 66025261050567 132050522101134