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200022102102102 = 237172312180130441
BaseRepresentation
bin101101011110101101000110…
…010101111101000001010110
3222020012221000012122011210120
4231132231012111331001112
5202204130231114231402
61545224515110132410
760063056104142130
oct5536550625750126
9866187005564716
10200022102102102
1158807996086835
121a525759351106
13877c00730c3c7
14375719b182050
15181d07963a3bc
hexb5eb4657d056

200022102102102 has 64 divisors (see below), whose sum is σ = 505134369690624. Its totient is φ = 51448870978560.

The previous prime is 200022102102101. The next prime is 200022102102103. The reversal of 200022102102102 is 201201201220002.

It is an interprime number because it is at equal distance from previous prime (200022102102101) and next prime (200022102102103).

200022102102102 is a modest number, since divided by 102102102 gives 200022 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200022102102101) 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, 6090048799 + ... + 6090081642.

It is an arithmetic number, because the mean of its divisors is an integer number (7892724526416).

Almost surely, 2200022102102102 is an apocalyptic number.

200022102102102 is an abundant number, since it is smaller than the sum of its proper divisors (305112267588522).

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

200022102102102 is a wasteful number, since it uses less digits than its factorization.

200022102102102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12180130493.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 200022102102102 its reverse (201201201220002), we get a palindrome (401223303322104).

The spelling of 200022102102102 in words is "two hundred trillion, twenty-two billion, one hundred two million, one hundred two thousand, one hundred two".

Divisors: 1 2 3 6 7 14 17 21 23 34 42 46 51 69 102 119 138 161 238 322 357 391 483 714 782 966 1173 2346 2737 5474 8211 16422 12180130441 24360260882 36540391323 73080782646 85260913087 170521826174 207062217497 255782739261 280143000143 414124434994 511565478522 560286000286 621186652491 840429000429 1242373304982 1449435522479 1680858000858 1961001001001 2898871044958 3922002002002 4348306567437 4762431002431 5883003003003 8696613134874 9524862004862 11766006006006 14287293007293 28574586014586 33337017017017 66674034034034 100011051051051 200022102102102