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220222121112100 = 225264322371531031
BaseRepresentation
bin110010000100101001110101…
…010011001111001000100100
31001212202000210021011011202201
4302010221311103033020210
5212331104401001041400
62100212351253544244
764246344312544552
oct6204516523171044
91055660707134681
10220222121112100
116419574a209508
1220848632945084
1395b5b1a839c13
143c54b43c2cbd2
151a6d73944d06a
hexc84a754cf224

220222121112100 has 72 divisors (see below), whose sum is σ = 478839480936768. Its totient is φ = 87912477494400.

The previous prime is 220222121112079. The next prime is 220222121112107. The reversal of 220222121112100 is 1211121222022.

It is a super-2 number, since 2×2202221211121002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220222121112107) 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, 143073585 + ... + 144604615.

It is an arithmetic number, because the mean of its divisors is an integer number (6650548346344).

Almost surely, 2220222121112100 is an apocalyptic number.

220222121112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220222121112100 is an abundant number, since it is smaller than the sum of its proper divisors (258617359824668).

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

220222121112100 is a wasteful number, since it uses less digits than its factorization.

220222121112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533925 (or 1533918 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 220222121112100 its reverse (1211121222022), we get a palindrome (221433242334122).

The spelling of 220222121112100 in words is "two hundred twenty trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 643 1286 2237 2572 3215 4474 6430 8948 11185 12860 16075 22370 32150 44740 55925 64300 111850 223700 1438391 1531031 2876782 3062062 5753564 6124124 7191955 7655155 14383910 15310310 28767820 30620620 35959775 38275775 71919550 76551550 143839100 153103100 984452933 1968905866 3424916347 3937811732 4922264665 6849832694 9844529330 13699665388 17124581735 19689058660 24611323325 34249163470 49222646650 68498326940 85622908675 98445293300 171245817350 342491634700 2202221211121 4404442422242 8808884844484 11011106055605 22022212111210 44044424222420 55055530278025 110111060556050 220222121112100