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132120301410 = 23256841214589
BaseRepresentation
bin111101100001011111…
…0111100111101100010
3110122000200122201100200
41323002332330331202
54131040244121120
6140410100330030
712355031014056
oct1730276747542
9418020581320
10132120301410
1151039513a49
12217329a3916
13c5c7250056
146574d1bc66
15368408ae90
hex1ec2fbcf62

132120301410 has 48 divisors (see below), whose sum is σ = 343564598520. Its totient is φ = 35226766080.

The previous prime is 132120301403. The next prime is 132120301433. The reversal of 132120301410 is 14103021231.

132120301410 is a `hidden beast` number, since 1 + 321 + 2 + 0 + 301 + 41 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 103443927129 + 28676374281 = 321627^2 + 169341^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 508396 + ... + 722984.

Almost surely, 2132120301410 is an apocalyptic number.

132120301410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132120301410 is an abundant number, since it is smaller than the sum of its proper divisors (211444297110).

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

132120301410 is a wasteful number, since it uses less digits than its factorization.

132120301410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221443 (or 221440 counting only the distinct ones).

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

Adding to 132120301410 its reverse (14103021231), we get a palindrome (146223322641).

The spelling of 132120301410 in words is "one hundred thirty-two billion, one hundred twenty million, three hundred one thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 6841 13682 20523 34205 41046 61569 68410 102615 123138 205230 214589 307845 429178 615690 643767 1072945 1287534 1931301 2145890 3218835 3862602 6437670 9656505 19313010 1468003349 2936006698 4404010047 7340016745 8808020094 13212030141 14680033490 22020050235 26424060282 44040100470 66060150705 132120301410