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10221222111200 = 255226348579953
BaseRepresentation
bin1001010010111101000001…
…0100000010011111100000
31100012010202112122212222022
42110233100110002133200
52314431030330024300
633423321542401012
72103313261304522
oct224572024023740
940163675585868
1010221222111200
1132908834624a1
121190b36730168
13591b1b0b8b39
142749d193da12
1512ad2658a285
hex94bd05027e0

10221222111200 has 72 divisors (see below), whose sum is σ = 25047435642768. Its totient is φ = 4072943175680.

The previous prime is 10221222111157. The next prime is 10221222111209. The reversal of 10221222111200 is 211122212201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221222111209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24079577 + ... + 24500376.

It is an arithmetic number, because the mean of its divisors is an integer number (347881050594).

Almost surely, 210221222111200 is an apocalyptic number.

10221222111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221222111200 is an abundant number, since it is smaller than the sum of its proper divisors (14826213531568).

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

10221222111200 is a wasteful number, since it uses less digits than its factorization.

10221222111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48580236 (or 48580223 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10221222111200 its reverse (211122212201), we get a palindrome (10432344323401).

The spelling of 10221222111200 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 263 400 526 800 1052 1315 2104 2630 4208 5260 6575 8416 10520 13150 21040 26300 42080 52600 105200 210400 48579953 97159906 194319812 242899765 388639624 485799530 777279248 971599060 1214498825 1554558496 1943198120 2428997650 3886396240 4857995300 7772792480 9715990600 12776527639 19431981200 25553055278 38863962400 51106110556 63882638195 102212221112 127765276390 204424442224 255530552780 319413190975 408848884448 511061105560 638826381950 1022122211120 1277652763900 2044244422240 2555305527800 5110611055600 10221222111200