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200310132 = 223113074943
BaseRepresentation
bin10111111000001…
…11110101110100
3111221220210211210
423330013311310
5402234411012
631513201420
74651415361
oct1374076564
9457823753
10200310132
11a3084a70
1257100270
1332665509
141c863468
15128bb23c
hexbf07d74

200310132 has 48 divisors (see below), whose sum is σ = 511644672. Its totient is φ = 60490080.

The previous prime is 200310091. The next prime is 200310139. The reversal of 200310132 is 231013002.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200310139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38053 + ... + 42995.

It is an arithmetic number, because the mean of its divisors is an integer number (10659264).

Almost surely, 2200310132 is an apocalyptic number.

200310132 is a gapful number since it is divisible by the number (22) 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 200310132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255822336).

200310132 is an abundant number, since it is smaller than the sum of its proper divisors (311334540).

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

200310132 is a wasteful number, since it uses less digits than its factorization.

200310132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 200310132 is about 14153.0961983589. The cubic root of 200310132 is about 585.1056686904.

Subtracting from 200310132 its sum of digits (12), we obtain a triangular number (200310120 = T20015).

Adding to 200310132 its reverse (231013002), we get a palindrome (431323134).

The spelling of 200310132 in words is "two hundred million, three hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 307 614 921 1228 1842 3377 3684 4943 6754 9886 10131 13508 14829 19772 20262 29658 40524 54373 59316 108746 163119 217492 326238 652476 1517501 3035002 4552503 6070004 9105006 16692511 18210012 33385022 50077533 66770044 100155066 200310132