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201032512 = 2623413331
BaseRepresentation
bin10111111101110…
…00001101000000
3112000021111202121
423332320031000
5402431020022
631540454024
74660514422
oct1376701500
9460244677
10201032512
11a352877a
12573aa314
1332859265
141c9b0812
15129b02c7
hexbfb8340

201032512 has 56 divisors (see below), whose sum is σ = 426549312. Its totient is φ = 93772800.

The previous prime is 201032449. The next prime is 201032527. The reversal of 201032512 is 215230102.

201032512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58687 + ... + 62017.

It is an arithmetic number, because the mean of its divisors is an integer number (7616952).

Almost surely, 2201032512 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 201032512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213274656).

201032512 is an abundant number, since it is smaller than the sum of its proper divisors (225516800).

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

201032512 is a wasteful number, since it uses less digits than its factorization.

201032512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3407 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 201032512 is about 14178.5934422283. The cubic root of 201032512 is about 585.8081819269.

Adding to 201032512 its reverse (215230102), we get a palindrome (416262614).

The spelling of 201032512 in words is "two hundred one million, thirty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 16 23 32 41 46 64 82 92 164 184 328 368 656 736 943 1312 1472 1886 2624 3331 3772 6662 7544 13324 15088 26648 30176 53296 60352 76613 106592 136571 153226 213184 273142 306452 546284 612904 1092568 1225808 2185136 2451616 3141133 4370272 4903232 6282266 8740544 12564532 25129064 50258128 100516256 201032512