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132310000 = 2454101131
BaseRepresentation
bin1111110001011…
…10001111110000
3100012222001012101
413320232033300
5232332410000
621043510144
73164421304
oct770561760
9305861171
10132310000
116875a509
1238388354
1321547054
1413801d04
15b937e6a
hex7e2e3f0

132310000 has 100 divisors (see below), whose sum is σ = 325976904. Its totient is φ = 52000000.

The previous prime is 132309979. The next prime is 132310019. The reversal of 132310000 is 13231.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×1323100002 = 35011872200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1009935 + ... + 1010065.

Almost surely, 2132310000 is an apocalyptic number.

132310000 is a gapful number since it is divisible by the number (10) 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 132310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162988452).

132310000 is an abundant number, since it is smaller than the sum of its proper divisors (193666904).

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

132310000 is a wasteful number, since it uses less digits than its factorization.

132310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 132310000 is about 11502.6083998370. The cubic root of 132310000 is about 509.5626135899.

Adding to 132310000 its reverse (13231), we get a palindrome (132323231).

Multiplying 132310000 by its reverse (13231), we get a square (1750593610000 = 13231002).

132310000 divided by its reverse (13231) gives a 4-th power (10000 = 104).

The spelling of 132310000 in words is "one hundred thirty-two million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 131 200 202 250 262 400 404 500 505 524 625 655 808 1000 1010 1048 1250 1310 1616 2000 2020 2096 2500 2525 2620 3275 4040 5000 5050 5240 6550 8080 10000 10100 10480 12625 13100 13231 16375 20200 25250 26200 26462 32750 40400 50500 52400 52924 63125 65500 66155 81875 101000 105848 126250 131000 132310 163750 202000 211696 252500 262000 264620 327500 330775 505000 529240 655000 661550 1010000 1058480 1310000 1323100 1653875 2646200 3307750 5292400 6615500 8269375 13231000 16538750 26462000 33077500 66155000 132310000