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2112992112 = 243721181671
BaseRepresentation
bin111110111110001…
…1011001101110000
312110020222010021010
41331330123031300
513311411221422
6545400430520
7103235064600
oct17574331560
95406863233
102112992112
11994802280
124ab778440
132789b95ba
141608acc00
15c5781b0c
hex7df1b370

2112992112 has 120 divisors (see below), whose sum is σ = 6927092352. Its totient is φ = 548822400.

The previous prime is 2112992099. The next prime is 2112992143.

2112992112 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2112992112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14964 + ... + 66707.

Almost surely, 22112992112 is an apocalyptic number.

2112992112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112992112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463546176).

2112992112 is an abundant number, since it is smaller than the sum of its proper divisors (4814100240).

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

2112992112 is a wasteful number, since it uses less digits than its factorization.

2112992112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81707 (or 81694 counting only the distinct ones).

The product of its digits is 1296, while the sum is 30.

The square root of 2112992112 is about 45967.2939381904. The cubic root of 2112992112 is about 1283.2145991160.

The spelling of 2112992112 in words is "two billion, one hundred twelve million, nine hundred ninety-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 336 392 462 528 539 588 616 784 924 1078 1176 1232 1617 1848 2156 2352 3234 3696 4312 6468 8624 12936 25872 81671 163342 245013 326684 490026 571697 653368 898381 980052 1143394 1306736 1715091 1796762 1960104 2286788 2695143 3430182 3593524 3920208 4001879 4573576 5390286 6288667 6860364 7187048 8003758 9147152 10780572 12005637 12577334 13720728 14374096 16007516 18866001 21561144 24011274 25154668 27441456 32015032 37732002 43122288 44020669 48022548 50309336 64030064 75464004 88041338 96045096 100618672 132062007 150928008 176082676 192090192 264124014 301856016 352165352 528248028 704330704 1056496056 2112992112