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132102120 = 23351100851
BaseRepresentation
bin1111101111110…
…11011111101000
3100012120111001010
413313323133220
5232304231440
621035223520
73162564243
oct767733750
9305514033
10132102120
1168628307
12382a7ba0
13214a3547
141378a25a
15b8e6580
hex7dfb7e8

132102120 has 32 divisors (see below), whose sum is σ = 396306720. Its totient is φ = 35227200.

The previous prime is 132102109. The next prime is 132102127. The reversal of 132102120 is 21201231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 132102096 and 132102105.

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 7 ways as a sum of consecutive naturals, for example, 550306 + ... + 550545.

It is an arithmetic number, because the mean of its divisors is an integer number (12384585).

Almost surely, 2132102120 is an apocalyptic number.

132102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132102120 is an abundant number, since it is smaller than the sum of its proper divisors (264204600).

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

132102120 is a wasteful number, since it uses less digits than its factorization.

132102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100865 (or 1100861 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 132102120 is about 11493.5686364158. The cubic root of 132102120 is about 509.2956058024.

Adding to 132102120 its reverse (21201231), we get a palindrome (153303351).

The spelling of 132102120 in words is "one hundred thirty-two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1100851 2201702 3302553 4403404 5504255 6605106 8806808 11008510 13210212 16512765 22017020 26420424 33025530 44034040 66051060 132102120