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132122000 = 2453312131
BaseRepresentation
bin1111110000000…
…00010110010000
3100012121111022102
413320000112100
5232310401000
621035455532
73163006223
oct770002620
9305544272
10132122000
116864123a
12382b75a8
13214ac5ca
14137935ba
15b8ec3d5
hex7e00590

132122000 has 80 divisors (see below), whose sum is σ = 329931264. Its totient is φ = 51120000.

The previous prime is 132121993. The next prime is 132122017. The reversal of 132122000 is 221231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60935 + ... + 63065.

Almost surely, 2132122000 is an apocalyptic number.

132122000 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 132122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164965632).

132122000 is an abundant number, since it is smaller than the sum of its proper divisors (197809264).

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

132122000 is a wasteful number, since it uses less digits than its factorization.

132122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 132122000 is about 11494.4334353634. The cubic root of 132122000 is about 509.3211524244.

Adding to 132122000 its reverse (221231), we get a palindrome (132343231).

The spelling of 132122000 in words is "one hundred thirty-two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 1000 1240 1550 2000 2131 2480 3100 3875 4262 6200 7750 8524 10655 12400 15500 17048 21310 31000 34096 42620 53275 62000 66061 85240 106550 132122 170480 213100 264244 266375 330305 426200 528488 532750 660610 852400 1056976 1065500 1321220 1651525 2131000 2642440 3303050 4262000 5284880 6606100 8257625 13212200 16515250 26424400 33030500 66061000 132122000