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100000011221 = 11291013103759
BaseRepresentation
bin101110100100001110…
…1110001001111010101
3100120010011122220122022
41131020131301033111
53114300000324341
6113534523142525
710140044033135
oct1351035611725
9316104586568
10100000011221
1139456443580
1217469974a45
139578814896
144ba9064ac5
15290423ce4b
hex17487713d5

100000011221 has 16 divisors (see below), whose sum is σ = 113970067200. Its totient is φ = 86905224000.

The previous prime is 100000011187. The next prime is 100000011257. The reversal of 100000011221 is 122110000001.

It is a cyclic number.

It is not a de Polignac number, because 100000011221 - 26 = 100000011157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100000011199 and 100000011208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000011281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1519661 + ... + 1584098.

It is an arithmetic number, because the mean of its divisors is an integer number (7123129200).

Almost surely, 2100000011221 is an apocalyptic number.

100000011221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100000011221 is a deficient number, since it is larger than the sum of its proper divisors (13970055979).

100000011221 is a wasteful number, since it uses less digits than its factorization.

100000011221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103900.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100000011221 its reverse (122110000001), we get a palindrome (222110011222).

It can be divided in two parts, 10000001 and 1221, that multiplied together give a palindrome (12210001221).

The spelling of 100000011221 in words is "one hundred billion, eleven thousand, two hundred twenty-one".

Divisors: 1 11 29 101 319 1111 2929 32219 3103759 34141349 90009011 313479659 990099121 3448276249 9090910111 100000011221