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100222102209 = 3172314386719
BaseRepresentation
bin101110101010110110…
…0111110101011000001
3100120200122120022012110
41131111230332223001
53120223324232314
6114012535245533
710145411545545
oct1352554765301
9316618508173
10100222102209
113955a844849
12175102198a9
1395b2834c78
144bca757a25
1529189aca59
hex1755b3eac1

100222102209 has 48 divisors (see below), whose sum is σ = 149940961280. Its totient is φ = 59439985920.

The previous prime is 100222102193. The next prime is 100222102219. The reversal of 100222102209 is 902201222001.

It is a happy number.

It is not a de Polignac number, because 100222102209 - 24 = 100222102193 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100222102219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1112352 + ... + 1199070.

Almost surely, 2100222102209 is an apocalyptic number.

It is an amenable number.

100222102209 is a deficient number, since it is larger than the sum of its proper divisors (49718859071).

100222102209 is a wasteful number, since it uses less digits than its factorization.

100222102209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86830 (or 86813 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 100222102209 in words is "one hundred billion, two hundred twenty-two million, one hundred two thousand, two hundred nine".

Divisors: 1 3 17 31 43 51 93 129 289 527 731 867 1333 1581 2193 3999 8959 12427 22661 26877 37281 67983 86719 260157 385237 1155711 1474223 2688289 3728917 4422669 8064867 11186751 25061791 45700913 63391589 75185373 115596427 137102739 190174767 346789281 776915521 1077657013 1965139259 2330746563 3232971039 5895417777 33407367403 100222102209