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1100210221 = 11238635039
BaseRepresentation
bin100000110010011…
…1110000000101101
32211200020110200201
41001210332000231
54223123211341
6301101153501
736156426655
oct10144760055
92750213621
101100210221
11515049250
1226855b891
13146c25586
14a6195365
15668c8331
hex4193e02d

1100210221 has 16 divisors (see below), whose sum is σ = 1254113280. Its totient is φ = 955406320.

The previous prime is 1100210179. The next prime is 1100210239. The reversal of 1100210221 is 1220120011.

It is not a de Polignac number, because 1100210221 - 211 = 1100208173 is a prime.

It is a super-3 number, since 3×11002102213 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100210198 and 1100210207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100210261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215820 + ... + 220858.

It is an arithmetic number, because the mean of its divisors is an integer number (78382080).

Almost surely, 21100210221 is an apocalyptic number.

1100210221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100210221 is a deficient number, since it is larger than the sum of its proper divisors (153903059).

1100210221 is a wasteful number, since it uses less digits than its factorization.

1100210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5936.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1100210221 is about 33169.4169529704. The cubic root of 1100210221 is about 1032.3458709520.

Adding to 1100210221 its reverse (1220120011), we get a palindrome (2320330232).

The spelling of 1100210221 in words is "one billion, one hundred million, two hundred ten thousand, two hundred twenty-one".

Divisors: 1 11 23 253 863 5039 9493 19849 55429 115897 218339 1274867 4348657 47835227 100019111 1100210221