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201020430 = 235132311279
BaseRepresentation
bin10111111101101…
…01010000001110
3112000020220012010
423332311100032
5402430123210
631540322050
74660434252
oct1376652016
9460226163
10201020430
11a351a696
12573a3326
1332853900
141c9aa262
15129ab920
hexbfb540e

201020430 has 96 divisors (see below), whose sum is σ = 539688960. Its totient is φ = 47848320.

The previous prime is 201020423. The next prime is 201020441. The reversal of 201020430 is 34020102.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156531 + ... + 157809.

It is an arithmetic number, because the mean of its divisors is an integer number (5621760).

Almost surely, 2201020430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201020430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269844480).

201020430 is an abundant number, since it is smaller than the sum of its proper divisors (338668530).

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

201020430 is a wasteful number, since it uses less digits than its factorization.

201020430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 201020430 is about 14178.1673709969. The cubic root of 201020430 is about 585.7964460536.

Adding to 201020430 its reverse (34020102), we get a palindrome (235040532).

The spelling of 201020430 in words is "two hundred one million, twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 169 186 195 310 338 390 403 465 507 806 845 930 1014 1209 1279 1690 2015 2418 2535 2558 3837 4030 5070 5239 6045 6395 7674 10478 12090 12790 15717 16627 19185 26195 31434 33254 38370 39649 49881 52390 78585 79298 83135 99762 118947 157170 166270 198245 216151 237894 249405 396490 432302 498810 515437 594735 648453 1030874 1080755 1189470 1296906 1546311 2161510 2577185 3092622 3242265 5154370 6484530 6700681 7731555 13401362 15463110 20102043 33503405 40204086 67006810 100510215 201020430