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132102126 = 232131813119
BaseRepresentation
bin1111101111110…
…11011111101110
3100012120111001100
413313323133232
5232304232001
621035223530
73162564252
oct767733756
9305514040
10132102126
1168628312
12382a7ba6
13214a3550
141378a262
15b8e6586
hex7dfb7ee

132102126 has 48 divisors (see below), whose sum is σ = 310040640. Its totient is φ = 40409280.

The previous prime is 132102109. The next prime is 132102127. The reversal of 132102126 is 621201231.

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

It is a junction number, because it is equal to n+sod(n) for n = 132102099 and 132102108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132102127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40795 + ... + 43913.

It is an arithmetic number, because the mean of its divisors is an integer number (6459180).

Almost surely, 2132102126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132102126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155020320).

132102126 is an abundant number, since it is smaller than the sum of its proper divisors (177938514).

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

132102126 is a wasteful number, since it uses less digits than its factorization.

132102126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 132102126 is about 11493.5688974313. The cubic root of 132102126 is about 509.2956135130.

Adding to 132102126 its reverse (621201231), we get a palindrome (753303357).

The spelling of 132102126 in words is "one hundred thirty-two million, one hundred two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 181 234 362 543 1086 1629 2353 3119 3258 4706 6238 7059 9357 14118 18714 21177 28071 40547 42354 56142 81094 121641 243282 364923 564539 729846 1129078 1693617 3387234 5080851 7339007 10161702 14678014 22017021 44034042 66051063 132102126