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2201312116 = 2217477189109
BaseRepresentation
bin1000001100110101…
…0101101101110100
312200102011020112101
42003031111231310
514002013441431
61002233431444
7105356562403
oct20315255564
95612136471
102201312116
11a2a646413
1251526b584
132910a0963
1416c4dd63a
15cd3ca961
hex83355b74

2201312116 has 96 divisors (see below), whose sum is σ = 4311014400. Its totient is φ = 979292160.

The previous prime is 2201312101. The next prime is 2201312117. The reversal of 2201312116 is 6112131022.

2201312116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2201312093 and 2201312102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201312117) 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, 20195470 + ... + 20195578.

It is an arithmetic number, because the mean of its divisors is an integer number (44906400).

Almost surely, 22201312116 is an apocalyptic number.

It is an amenable number.

2201312116 is a deficient number, since it is larger than the sum of its proper divisors (2109702284).

2201312116 is a wasteful number, since it uses less digits than its factorization.

2201312116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 2201312116 is about 46918.1427168638. The cubic root of 2201312116 is about 1300.8499601381.

Adding to 2201312116 its reverse (6112131022), we get a palindrome (8313443138).

The spelling of 2201312116 in words is "two billion, two hundred one million, three hundred twelve thousand, one hundred sixteen".

Divisors: 1 2 4 17 34 47 68 71 89 94 109 142 178 188 218 284 356 436 799 1207 1513 1598 1853 2414 3026 3196 3337 3706 4183 4828 5123 6052 6319 6674 7412 7739 8366 9701 10246 12638 13348 15478 16732 19402 20492 25276 30956 38804 56729 71111 87091 107423 113458 131563 142222 164917 174182 214846 226916 263126 284444 296993 329834 348364 363733 429692 455947 526252 593986 659668 688771 727466 911894 1187972 1377542 1454932 1823788 2755084 5048881 6183461 7751099 10097762 11709107 12366922 15502198 20195524 23418214 24733844 31004396 32372237 46836428 64744474 129488948 550328029 1100656058 2201312116