Search a number
-
+
210221012200100 = 225211238309130917
BaseRepresentation
bin101111110011000111100100…
…110000011010101010100100
31000120022221011210022100122112
4233303013210300122222210
5210023230113110400400
62023034111053020152
762164652440455536
oct5763074460325244
91016287153270575
10210221012200100
1160a8a259a334a0
121b6b22a7784658
13903b9aaa30465
1439caa73721856
1519484e6eb3835
hexbf31e4c1aaa4

210221012200100 has 72 divisors (see below), whose sum is σ = 519287445851328. Its totient is φ = 73120352060800.

The previous prime is 210221012200063. The next prime is 210221012200127. The reversal of 210221012200100 is 1002210122012.

210221012200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4154540159 + ... + 4154590758.

It is an arithmetic number, because the mean of its divisors is an integer number (7212325636824).

Almost surely, 2210221012200100 is an apocalyptic number.

210221012200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210221012200100 is an abundant number, since it is smaller than the sum of its proper divisors (309066433651228).

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

210221012200100 is a wasteful number, since it uses less digits than its factorization.

210221012200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8309130965 (or 8309130958 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210221012200100 its reverse (1002210122012), we get a palindrome (211223222322112).

The spelling of 210221012200100 in words is "two hundred ten trillion, two hundred twenty-one billion, twelve million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 2300 2530 5060 6325 12650 25300 8309130917 16618261834 33236523668 41545654585 83091309170 91400440087 166182618340 182800880174 191110011091 207728272925 365601760348 382220022182 415456545850 457002200435 764440044364 830913091700 914004400870 955550055455 1828008801740 1911100110910 2102210122001 2285011002175 3822200221820 4204420244002 4570022004350 4777750277275 8408840488004 9140044008700 9555500554550 10511050610005 19111001109100 21022101220010 42044202440020 52555253050025 105110506100050 210221012200100