Search a number
-
+
21102212200 = 2352177385021
BaseRepresentation
bin10011101001110010…
…100011010001101000
32000110122112110010211
4103221302203101220
5321204131242300
613405541350504
71344634562356
oct235162432150
960418473124
1021102212200
118a497153a3
12410b108434
131cb3b514c4
14104283c7d6
158378dc4ba
hex4e9ca3468

21102212200 has 96 divisors (see below), whose sum is σ = 52660926360. Its totient is φ = 7835443200.

The previous prime is 21102212189. The next prime is 21102212207. The reversal of 21102212200 is 221220112.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2661115396 + 18441096804 = 51586^2 + 135798^2 .

It is not an unprimeable number, because it can be changed into a prime (21102212207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205690 + ... + 290710.

Almost surely, 221102212200 is an apocalyptic number.

21102212200 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 21102212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26330463180).

21102212200 is an abundant number, since it is smaller than the sum of its proper divisors (31558714160).

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

21102212200 is a wasteful number, since it uses less digits than its factorization.

21102212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85127 (or 85118 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21102212200 its reverse (221220112), we get a palindrome (21323432312).

The spelling of 21102212200 in words is "twenty-one billion, one hundred two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 73 85 100 136 146 170 200 292 340 365 425 584 680 730 850 1241 1460 1700 1825 2482 2920 3400 3650 4964 6205 7300 9928 12410 14600 24820 31025 49640 62050 85021 124100 170042 248200 340084 425105 680168 850210 1445357 1700420 2125525 2890714 3400840 4251050 5781428 6206533 7226785 8502100 11562856 12413066 14453570 17004200 24826132 28907140 31032665 36133925 49652264 57814280 62065330 72267850 105511061 124130660 144535700 155163325 211022122 248261320 289071400 310326650 422044244 527555305 620653300 844088488 1055110610 1241306600 2110221220 2637776525 4220442440 5275553050 10551106100 21102212200