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100221222211 = 11194799711031
BaseRepresentation
bin101110101010110100…
…1100111110101000011
3100120200120220121001221
41131111221213311003
53120223113102321
6114012504335511
710145401222135
oct1352551476503
9316616817057
10100221222211
113955a2a3680
121750ba74597
1395b25b7566
144bca5a9055
152918886e41
hex1755a67d43

100221222211 has 32 divisors (see below), whose sum is σ = 115557580800. Its totient is φ = 85962564000.

The previous prime is 100221222203. The next prime is 100221222247. The reversal of 100221222211 is 112222122001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100221222211 - 23 = 100221222203 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100221222251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97207266 + ... + 97208296.

It is an arithmetic number, because the mean of its divisors is an integer number (3611174400).

Almost surely, 2100221222211 is an apocalyptic number.

100221222211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100221222211 is a deficient number, since it is larger than the sum of its proper divisors (15336358589).

100221222211 is a wasteful number, since it uses less digits than its factorization.

100221222211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100221222211 its reverse (112222122001), we get a palindrome (212443344212).

The spelling of 100221222211 in words is "one hundred billion, two hundred twenty-one million, two hundred twenty-two thousand, two hundred eleven".

Divisors: 1 11 19 209 479 971 1031 5269 9101 10681 11341 18449 19589 100111 202939 215479 465109 493849 1001101 5116199 5432339 8837071 9383131 11012111 19020919 97207781 103214441 209230109 479527379 5274801169 9111020201 100221222211