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201000212010 = 232513853201401
BaseRepresentation
bin1011101100110010001…
…0111101011000101010
3201012211001100201102200
42323030202331120222
511243122023241020
6232201020041030
720343654420003
oct2731442753052
9635731321380
10201000212010
117827541a2a4
1232b56693176
1315c536019c0
149a2ac861aa
155366198590
hex2ecc8bd62a

201000212010 has 96 divisors (see below), whose sum is σ = 563463181008. Its totient is φ = 49418726400.

The previous prime is 201000211987. The next prime is 201000212053. The reversal of 201000212010 is 10212000102.

It can be written as a sum of positive squares in 8 ways, for example, as 796763529 + 200203448481 = 28227^2 + 447441^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 201000211983 and 201000212001.

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, 897310 + ... + 1098710.

Almost surely, 2201000212010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201000212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281731590504).

201000212010 is an abundant number, since it is smaller than the sum of its proper divisors (362462968998).

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

201000212010 is a wasteful number, since it uses less digits than its factorization.

201000212010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202280 (or 202277 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201000212010 its reverse (10212000102), we get a palindrome (211212212112).

The spelling of 201000212010 in words is "two hundred one billion, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 853 1170 1706 2559 4265 5118 7677 8530 11089 12795 15354 22178 25590 33267 38385 55445 66534 76770 99801 110890 166335 199602 201401 332670 402802 499005 604203 998010 1007005 1208406 1812609 2014010 2618213 3021015 3625218 5236426 6042030 7854639 9063045 13091065 15709278 18126090 23563917 26182130 39273195 47127834 78546390 117819585 171795053 235639170 343590106 515385159 858975265 1030770318 1546155477 1717950530 2233335689 2576925795 3092310954 4466671378 5153851590 6700007067 7730777385 11166678445 13400014134 15461554770 20100021201 22333356890 33500035335 40200042402 67000070670 100500106005 201000212010