Search a number
-
+
111112112222112 = 2537116301659657
BaseRepresentation
bin11001010000111001001101…
…111110101010111110100000
3112120102012210010220011222210
4121100321031332222332200
5104030430101212101422
61032152111044202120
732255404502446161
oct3120711576527640
9476365703804883
10111112112222112
1132449422731a01
1210566331699340
1349cca9a543b61
141d61bd7cb9768
15cca43370010c
hex650e4dfaafa0

111112112222112 has 48 divisors (see below), whose sum is σ = 295777312834752. Its totient is φ = 36515717629440.

The previous prime is 111112112222101. The next prime is 111112112222119. The reversal of 111112112222112 is 211222211211111.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (111112112222119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8150823013 + ... + 8150836644.

It is an arithmetic number, because the mean of its divisors is an integer number (6162027350724).

Almost surely, 2111112112222112 is an apocalyptic number.

111112112222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111112112222112 is an abundant number, since it is smaller than the sum of its proper divisors (184665200612640).

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

111112112222112 is a wasteful number, since it uses less digits than its factorization.

111112112222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16301659741 (or 16301659733 counting only the distinct ones).

The product of its digits is 64, while the sum is 21.

Adding to 111112112222112 its reverse (211222211211111), we get a palindrome (322334323433223).

It can be divided in two parts, 11111 and 2112222112, that multiplied together give a palindrome (23468899886432).

The spelling of 111112112222112 in words is "one hundred eleven trillion, one hundred twelve billion, one hundred twelve million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 16301659657 32603319314 48904978971 65206638628 97809957942 130413277256 195619915884 260826554512 391239831768 521653109024 782479663536 1157417835647 1564959327072 2314835671294 3472253506941 4629671342588 6944507013882 9259342685176 13889014027764 18518685370352 27778028055528 37037370740704 55556056111056 111112112222112