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201332142 = 23411210271
BaseRepresentation
bin11000000000000…
…01010110101110
3112000211201210000
430000001112232
5403020112032
631551125130
74663203114
oct1400012656
9460751700
10201332142
11a3712900
12575137a6
133293275b
141ca4bab4
1512a1de7c
hexc0015ae

201332142 has 60 divisors (see below), whose sum is σ = 495921888. Its totient is φ = 61003800.

The previous prime is 201332141. The next prime is 201332171. The reversal of 201332142 is 241233102.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201332141) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14467 + ... + 24737.

Almost surely, 2201332142 is an apocalyptic number.

201332142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201332142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247960944).

201332142 is an abundant number, since it is smaller than the sum of its proper divisors (294589746).

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

201332142 is a wasteful number, since it uses less digits than its factorization.

201332142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10307 (or 10287 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 201332142 is about 14189.1557888410. The cubic root of 201332142 is about 586.0990777817.

Adding to 201332142 its reverse (241233102), we get a palindrome (442565244).

The spelling of 201332142 in words is "two hundred one million, three hundred thirty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 297 363 594 726 891 1089 1782 2178 3267 6534 9801 10271 19602 20542 30813 61626 92439 112981 184878 225962 277317 338943 554634 677886 831951 1016829 1242791 1663902 2033658 2485582 3050487 3728373 6100974 7456746 9151461 11185119 18302922 22370238 33555357 67110714 100666071 201332142