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12200043043134 = 2331985913842701
BaseRepresentation
bin1011000110001000101100…
…1110110101100100111110
31121012022102222100121101000
42301202023032311210332
53044341142004340014
641540342234431130
72366265303560502
oct261421316654476
947168388317330
1012200043043134
113984011274a41
1214505498924a6
136a65c78cc76b
143026b16a6302
15162540048509
hexb188b3b593e

12200043043134 has 64 divisors (see below), whose sum is σ = 28571336928000. Its totient is φ = 3848159858400.

The previous prime is 12200043043103. The next prime is 12200043043171. The reversal of 12200043043134 is 43134034000221.

12200043043134 is a `hidden beast` number, since 1 + 220 + 0 + 0 + 4 + 3 + 0 + 431 + 3 + 4 = 666.

It is a super-2 number, since 2×122000430431342 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12200043043098 and 12200043043107.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6040017 + ... + 7802684.

It is an arithmetic number, because the mean of its divisors is an integer number (446427139500).

Almost surely, 212200043043134 is an apocalyptic number.

12200043043134 is an abundant number, since it is smaller than the sum of its proper divisors (16371293884866).

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

12200043043134 is a wasteful number, since it uses less digits than its factorization.

12200043043134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13843590 (or 13843584 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12200043043134 its reverse (43134034000221), we get a palindrome (55334077043355).

The spelling of 12200043043134 in words is "twelve trillion, two hundred billion, forty-three million, forty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 859 1026 1718 2577 5154 7731 15462 16321 23193 32642 46386 48963 97926 146889 293778 440667 881334 13842701 27685402 41528103 83056206 124584309 249168618 263011319 373752927 526022638 747505854 789033957 1578067914 2367101871 4734203742 7101305613 11890880159 14202611226 23781760318 35672640477 71345280954 107017921431 214035842862 225926723021 321053764293 451853446042 642107528586 677780169063 1355560338126 2033340507189 4066681014378 6100021521567 12200043043134