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100222102002 = 23111871811607
BaseRepresentation
bin101110101010110110…
…0111110100111110010
3100120200122120021220210
41131111230332213302
53120223324231002
6114012535244550
710145411545131
oct1352554764762
9316618507823
10100222102002
113955a844680
1217510219756
1395b2834b49
144bca757918
1529189ac96c
hex1755b3e9f2

100222102002 has 32 divisors (see below), whose sum is σ = 218783545344. Its totient is φ = 30354064400.

The previous prime is 100222101997. The next prime is 100222102007. The reversal of 100222102002 is 200201222001.

It is an interprime number because it is at equal distance from previous prime (100222101997) and next prime (100222102007).

It is not an unprimeable number, because it can be changed into a prime (100222102007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282318 + ... + 529289.

It is an arithmetic number, because the mean of its divisors is an integer number (6836985792).

Almost surely, 2100222102002 is an apocalyptic number.

100222102002 is an abundant number, since it is smaller than the sum of its proper divisors (118561443342).

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

100222102002 is a wasteful number, since it uses less digits than its factorization.

100222102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813494.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100222102002 its reverse (200201222001), we get a palindrome (300423324003).

The spelling of 100222102002 in words is "one hundred billion, two hundred twenty-two million, one hundred two thousand, two".

Divisors: 1 2 3 6 11 22 33 66 1871 3742 5613 11226 20581 41162 61743 123486 811607 1623214 2434821 4869642 8927677 17855354 26783031 53566062 1518516697 3037033394 4555550091 9111100182 16703683667 33407367334 50111051001 100222102002