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132300111132 = 22337227192251
BaseRepresentation
bin111101100110110110…
…0110111110100011100
3110122111012222222221000
41323031230313310130
54131422312024012
6140440002310300
712362343250500
oct1731554676434
9418435888830
10132300111132
1151120a66722
1221783058390
13c625588437
146590b66300
153694c57ddc
hex1ecdb37d1c

132300111132 has 144 divisors (see below), whose sum is σ = 400477002240. Its totient is φ = 37660140000.

The previous prime is 132300111131. The next prime is 132300111173. The reversal of 132300111132 is 231111003231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132300111131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1388007 + ... + 1480257.

Almost surely, 2132300111132 is an apocalyptic number.

132300111132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132300111132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200238501120).

132300111132 is an abundant number, since it is smaller than the sum of its proper divisors (268176891108).

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

132300111132 is a wasteful number, since it uses less digits than its factorization.

132300111132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92549 (or 92534 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 132300111132 its reverse (231111003231), we get a palindrome (363411114363).

The spelling of 132300111132 in words is "one hundred thirty-two billion, three hundred million, one hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 271 294 378 441 542 588 756 813 882 1084 1323 1626 1764 1897 2439 2646 3252 3794 4878 5292 5691 7317 7588 9756 11382 13279 14634 17073 22764 26558 29268 34146 39837 51219 53116 68292 79674 92251 102438 119511 159348 184502 204876 239022 276753 358533 369004 478044 553506 645757 717066 830259 1107012 1291514 1434132 1660518 1937271 2490777 2583028 3321036 3874542 4520299 4981554 5811813 7749084 9040598 9963108 11623626 13560897 17435439 18081196 23247252 25000021 27121794 34870878 40682691 50000042 54243588 69741756 75000063 81365382 100000084 122048073 150000126 162730764 175000147 225000189 244096146 300000252 350000294 450000378 488192292 525000441 675000567 700000588 900000756 1050000882 1225001029 1350001134 1575001323 2100001764 2450002058 2700002268 3150002646 3675003087 4725003969 4900004116 6300005292 7350006174 9450007938 11025009261 14700012348 18900015876 22050018522 33075027783 44100037044 66150055566 132300111132