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201130032 = 243232892
BaseRepresentation
bin10111111110100…
…00000000110000
3112000110110112110
423333100000300
5402442130112
631542525320
74661401635
oct1377200060
9460413473
10201130032
11a3594a74
1257436840
133289176c
141c9d818c
15129ce13c
hexbfd0030

201130032 has 90 divisors (see below), whose sum is σ = 549330292. Its totient is φ = 63407872.

The previous prime is 201130003. The next prime is 201130073. The reversal of 201130032 is 230031102.

It is a happy number.

It is a super-4 number, since 4×2011300324 (a number of 34 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2259844 + ... + 2259932.

Almost surely, 2201130032 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 201130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274665146).

201130032 is an abundant number, since it is smaller than the sum of its proper divisors (348200260).

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

201130032 is an equidigital number, since it uses as much as digits as its factorization.

201130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 117 counting only the distinct ones).

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

The square root of 201130032 is about 14182.0320123740. The cubic root of 201130032 is about 585.9028909507.

Multiplying 201130032 by its sum of digits (12), we get a square (2413560384 = 491282).

201130032 divided by its sum of digits (12) gives a square (16760836 = 40942).

Adding to 201130032 its reverse (230031102), we get a palindrome (431161134).

The spelling of 201130032 in words is "two hundred one million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 89 92 138 178 184 267 276 356 368 529 534 552 712 1058 1068 1104 1424 1587 2047 2116 2136 3174 4094 4232 4272 6141 6348 7921 8188 8464 12282 12696 15842 16376 23763 24564 25392 31684 32752 47081 47526 49128 63368 94162 95052 98256 126736 141243 182183 188324 190104 282486 364366 376648 380208 546549 564972 728732 753296 1093098 1129944 1457464 2186196 2259888 2914928 4190209 4372392 8380418 8744784 12570627 16760836 25141254 33521672 50282508 67043344 100565016 201130032