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201014300 = 225219472251
BaseRepresentation
bin10111111101100…
…11110000011100
3112000020120210002
423332303300130
5402424424200
631540233432
74660410344
oct1376636034
9460216702
10201014300
11a3516023
125739b878
1332850b96
141c9a7d24
15129a9bd5
hexbfb3c1c

201014300 has 72 divisors (see below), whose sum is σ = 469136640. Its totient is φ = 74520000.

The previous prime is 201014299. The next prime is 201014327. The reversal of 201014300 is 3410102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 88175 + ... + 90425.

Almost surely, 2201014300 is an apocalyptic number.

201014300 is a gapful number since it is divisible by the number (20) 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 201014300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234568320).

201014300 is an abundant number, since it is smaller than the sum of its proper divisors (268122340).

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

201014300 is a wasteful number, since it uses less digits than its factorization.

201014300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 201014300 is about 14177.9511919036. The cubic root of 201014300 is about 585.7904914869.

Adding to 201014300 its reverse (3410102), we get a palindrome (204424402).

The spelling of 201014300 in words is "two hundred one million, fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 47 50 76 94 95 100 188 190 235 380 470 475 893 940 950 1175 1786 1900 2251 2350 3572 4465 4502 4700 8930 9004 11255 17860 22325 22510 42769 44650 45020 56275 85538 89300 105797 112550 171076 211594 213845 225100 423188 427690 528985 855380 1057970 1069225 2010143 2115940 2138450 2644925 4020286 4276900 5289850 8040572 10050715 10579700 20101430 40202860 50253575 100507150 201014300