Search a number
-
+
201001221210 = 23541217323039
BaseRepresentation
bin1011101100110010011…
…0110011110001011010
3201012211010020222210110
42323030212303301122
511243122303034320
6232201053425150
720343666122166
oct2731446636132
9635733228713
10201001221210
1178275a49549
1232b56a9b1b6
1315c5389616a
149a2b069ca6
1553662e75e0
hex2ecc9b3c5a

201001221210 has 96 divisors (see below), whose sum is σ = 497335541760. Its totient is φ = 51988472320.

The previous prime is 201001221193. The next prime is 201001221319. The reversal of 201001221210 is 12122100102.

201001221210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2010012212102 (a number of 23 digits) contains 22 as substring.

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, 8712871 + ... + 8735909.

It is an arithmetic number, because the mean of its divisors is an integer number (5180578560).

Almost surely, 2201001221210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201001221210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248667770880).

201001221210 is an abundant number, since it is smaller than the sum of its proper divisors (296334320550).

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

201001221210 is a wasteful number, since it uses less digits than its factorization.

201001221210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23304 (or 23263 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201001221210 its reverse (12122100102), we get a palindrome (213123321312).

The spelling of 201001221210 in words is "two hundred one billion, one million, two hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 173 205 246 346 410 519 615 865 1038 1230 1681 1730 2595 3362 5043 5190 7093 8405 10086 14186 16810 21279 23039 25215 35465 42558 46078 50430 69117 70930 106395 115195 138234 212790 230390 290813 345585 581626 691170 872439 944599 1454065 1744878 1889198 2833797 2908130 3985747 4362195 4722995 5667594 7971494 8724390 9445990 11957241 14168985 19928735 23914482 28337970 38728559 39857470 59786205 77457118 116185677 119572410 163415627 193642795 232371354 326831254 387285590 490246881 580928385 817078135 980493762 1161856770 1634156270 2451234405 4902468810 6700040707 13400081414 20100122121 33500203535 40200244242 67000407070 100500610605 201001221210