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112213200112 = 24134756920173
BaseRepresentation
bin110100010000001101…
…1011000110011110000
3101201122022221012011121
41220200123120303300
53314303034400422
6123314450152024
711051514314626
oct1504033306360
9351568835147
10112213200112
1143653476112
12198b7b82614
13a773ba0880
1456070d9516
152dbb5708c7
hex1a206d8cf0

112213200112 has 80 divisors (see below), whose sum is σ = 239550917760. Its totient is φ = 50597185536.

The previous prime is 112213200107. The next prime is 112213200131. The reversal of 112213200112 is 211002312211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5552458 + ... + 5572630.

It is an arithmetic number, because the mean of its divisors is an integer number (2994386472).

Almost surely, 2112213200112 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 112213200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119775458880).

112213200112 is an abundant number, since it is smaller than the sum of its proper divisors (127337717648).

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

112213200112 is a wasteful number, since it uses less digits than its factorization.

112213200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20810 (or 20804 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 112213200112 its reverse (211002312211), we get a palindrome (323215512323).

The spelling of 112213200112 in words is "one hundred twelve billion, two hundred thirteen million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 188 208 376 569 611 752 1138 1222 2276 2444 4552 4888 7397 9104 9776 14794 20173 26743 29588 40346 53486 59176 80692 106972 118352 161384 213944 262249 322768 347659 427888 524498 695318 948131 1048996 1390636 1896262 2097992 2781272 3792524 4195984 5562544 7585048 11478437 12325703 15170096 22956874 24651406 45913748 49302812 91827496 98605624 149219681 183654992 197211248 298439362 539486539 596878724 1078973078 1193757448 2157946156 2387514896 4315892312 7013325007 8631784624 14026650014 28053300028 56106600056 112213200112