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3112222113 = 32721113172903
BaseRepresentation
bin1011100110000000…
…1011110110100001
322000220012021010200
42321200023312201
522333212101423
61232453415413
7140060310600
oct27140136641
98026167120
103112222113
11135784a5a0
1272a33a569
133a7a17160
14217499a37
1513335ed43
hexb980bda1

3112222113 has 144 divisors (see below), whose sum is σ = 6507236736. Its totient is φ = 1404103680.

The previous prime is 3112222111. The next prime is 3112222117.

3112222113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3112222113 - 21 = 3112222111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3112222111) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1070620 + ... + 1073522.

It is an arithmetic number, because the mean of its divisors is an integer number (45189144).

Almost surely, 23112222113 is an apocalyptic number.

3112222113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3112222113 is an abundant number, since it is smaller than the sum of its proper divisors (3395014623).

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

3112222113 is a wasteful number, since it uses less digits than its factorization.

3112222113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2954 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 3112222113 is about 55787.2934726179. The cubic root of 3112222113 is about 1460.0134659733.

It can be divided in two parts, 31122 and 22113, that added together give a palindrome (53235).

The spelling of 3112222113 in words is "three billion, one hundred twelve million, two hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 3 7 9 11 13 17 21 33 39 49 51 63 77 91 99 117 119 143 147 153 187 221 231 273 357 429 441 539 561 637 663 693 819 833 1001 1071 1287 1309 1547 1617 1683 1911 1989 2431 2499 2903 3003 3927 4641 4851 5733 7007 7293 7497 8709 9009 9163 10829 11781 13923 17017 20321 21021 21879 26127 27489 31933 32487 37739 49351 51051 60963 63063 82467 95799 97461 113217 119119 142247 148053 153153 182889 223531 264173 287397 339651 345457 357357 415129 426741 444159 542861 641563 670593 792519 1036371 1072071 1245387 1280223 1564717 1628583 1849211 1924689 2011779 2377557 2418199 2905903 3109113 3736161 3800027 4490941 4694151 4885749 5547633 5774067 7057193 7254597 8717709 11400081 13472823 14082453 16642899 20341321 21171579 21763791 26153127 26600189 31436587 34200243 40418469 49400351 61023963 63514737 79800567 94309761 148201053 183071889 239401701 282929283 345802457 444603159 1037407371 3112222113