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113013220012 = 227114713675711
BaseRepresentation
bin110100101000000011…
…1001110001010101100
3101210201002022102011021
41221100013032022230
53322422341020022
6123530105303524
711110400343310
oct1512007161254
9353632272137
10113013220012
1143a2401a990
1219a9ba94ba4
13a87085c824
14568146bb40
152e168ed7c7
hex1a501ce2ac

113013220012 has 96 divisors (see below), whose sum is σ = 252048900096. Its totient is φ = 43055227200.

The previous prime is 113013219997. The next prime is 113013220051. The reversal of 113013220012 is 210022310311.

It is a super-3 number, since 3×1130132200123 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19785837 + ... + 19791547.

It is an arithmetic number, because the mean of its divisors is an integer number (2625509376).

Almost surely, 2113013220012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113013220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126024450048).

113013220012 is an abundant number, since it is smaller than the sum of its proper divisors (139035680084).

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

113013220012 is a wasteful number, since it uses less digits than its factorization.

113013220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7147 (or 7145 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 113013220012 its reverse (210022310311), we get a palindrome (323035530323).

The spelling of 113013220012 in words is "one hundred thirteen billion, thirteen million, two hundred twenty thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 47 77 94 154 188 308 329 517 658 1034 1316 1367 2068 2734 3619 5468 5711 7238 9569 11422 14476 15037 19138 22844 30074 38276 39977 60148 62821 64249 79954 105259 125642 128498 159908 210518 251284 256996 268417 421036 439747 449743 536834 706739 879494 899486 1073668 1413478 1758988 1798972 1878919 2826956 2952587 3757838 4947173 5905174 7515676 7806937 9894346 11810348 15613874 19788692 20668109 31227748 41336218 54648559 82672436 85876307 109297118 171752614 218594236 343505228 366926039 601134149 733852078 1202268298 1467704156 2404536596 2568482273 4036186429 5136964546 8072372858 10273929092 16144745716 28253305003 56506610006 113013220012