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22010132118 = 231317236111831
BaseRepresentation
bin10100011111111001…
…111111011010010110
32002210220221120010110
4110133321333122112
5330034043211433
614040013303450
71406301015252
oct243771773226
962726846113
1022010132118
119375167037
124323194b86
1320c9c8ba20
1410cb25b262
1588c480963
hex51fe7f696

22010132118 has 128 divisors (see below), whose sum is σ = 53240592384. Its totient is φ = 5996390400.

The previous prime is 22010132113. The next prime is 22010132219. The reversal of 22010132118 is 81123101022.

It is a junction number, because it is equal to n+sod(n) for n = 22010132094 and 22010132103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22010132113) 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 63 ways as a sum of consecutive naturals, for example, 1854463 + ... + 1866293.

It is an arithmetic number, because the mean of its divisors is an integer number (415942128).

Almost surely, 222010132118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22010132118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26620296192).

22010132118 is an abundant number, since it is smaller than the sum of its proper divisors (31230460266).

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

22010132118 is a wasteful number, since it uses less digits than its factorization.

22010132118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11950.

The product of its (nonzero) digits is 192, while the sum is 21.

The spelling of 22010132118 in words is "twenty-two billion, ten million, one hundred thirty-two thousand, one hundred eighteen".

Divisors: 1 2 3 6 13 17 23 26 34 39 46 51 61 69 78 102 122 138 183 221 299 366 391 442 598 663 782 793 897 1037 1173 1326 1403 1586 1794 2074 2346 2379 2806 3111 4209 4758 5083 6222 8418 10166 11831 13481 15249 18239 23662 23851 26962 30498 35493 36478 40443 47702 54717 70986 71553 80886 109434 143106 153803 201127 272113 307606 310063 402254 461409 544226 603381 620126 721691 816339 922818 930189 1206762 1443382 1632678 1860378 2165073 2614651 3537469 4330146 4625921 5229302 7074938 7843953 9251842 9381983 10612407 12268747 13877763 15687906 16598893 18763966 21224814 24537494 27755526 28145949 33197786 36806241 49796679 56291898 60136973 73612482 99593358 120273946 159493711 180410919 215785609 282181181 318987422 360821838 431571218 478481133 564362362 647356827 846543543 956962266 1294713654 1693087086 3668355353 7336710706 11005066059 22010132118