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201132032 = 2111753109
BaseRepresentation
bin10111111110100…
…00100000000000
3112000110120021112
423333100200000
5402442211112
631542542452
74661410523
oct1377204000
9460416245
10201132032
11a3596522
1257437a28
133289264a
141c9d8bba
15129cea22
hexbfd0800

201132032 has 96 divisors (see below), whose sum is σ = 437837400. Its totient is φ = 92012544.

The previous prime is 201132031. The next prime is 201132077. The reversal of 201132032 is 230231102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 200958976 + 173056 = 14176^2 + 416^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201131998 and 201132016.

It is not an unprimeable number, because it can be changed into a prime (201132031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1845194 + ... + 1845302.

Almost surely, 2201132032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218918700).

201132032 is an abundant number, since it is smaller than the sum of its proper divisors (236705368).

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

201132032 is a wasteful number, since it uses less digits than its factorization.

201132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 201132032 is about 14182.1025239560. The cubic root of 201132032 is about 585.9048329810.

Adding to 201132032 its reverse (230231102), we get a palindrome (431363134).

It can be divided in two parts, 2011 and 32032, that added together give a palindrome (34043).

The spelling of 201132032 in words is "two hundred one million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 109 128 136 212 218 256 272 424 436 512 544 848 872 901 1024 1088 1696 1744 1802 1853 2048 2176 3392 3488 3604 3706 4352 5777 6784 6976 7208 7412 8704 11554 13568 13952 14416 14824 17408 23108 27136 27904 28832 29648 34816 46216 54272 55808 57664 59296 92432 98209 108544 111616 115328 118592 184864 196418 223232 230656 237184 369728 392836 461312 474368 739456 785672 922624 948736 1478912 1571344 1845248 1897472 2957824 3142688 3794944 5915648 6285376 11831296 12570752 25141504 50283008 100566016 201132032