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112120216 = 231319232467
BaseRepresentation
bin1101010111011…
…01000110011000
321210222022000121
412223231012120
5212200321331
615043043024
72531002045
oct653550630
9253868017
10112120216
115831a63a
1231670474
131a2c8430
1410c681cc
159c9ac11
hex6aed198

112120216 has 64 divisors (see below), whose sum is σ = 248774400. Its totient is φ = 46873728.

The previous prime is 112120207. The next prime is 112120223. The reversal of 112120216 is 612021211.

It is a self number, because there is not a number n which added to its sum of digits gives 112120216.

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, 44215 + ... + 46681.

It is an arithmetic number, because the mean of its divisors is an integer number (3887100).

Almost surely, 2112120216 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 112120216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124387200).

112120216 is an abundant number, since it is smaller than the sum of its proper divisors (136654184).

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

112120216 is a wasteful number, since it uses less digits than its factorization.

112120216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2524 counting only the distinct ones).

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

The square root of 112120216 is about 10588.6833931325. The cubic root of 112120216 is about 482.2008540614.

Adding to 112120216 its reverse (612021211), we get a palindrome (724141427).

The spelling of 112120216 in words is "one hundred twelve million, one hundred twenty thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 19 23 26 38 46 52 76 92 104 152 184 247 299 437 494 598 874 988 1196 1748 1976 2392 2467 3496 4934 5681 9868 11362 19736 22724 32071 45448 46873 56741 64142 93746 113482 128284 187492 226964 256568 374984 453928 609349 737633 1078079 1218698 1475266 2156158 2437396 2950532 4312316 4874792 5901064 8624632 14015027 28030054 56060108 112120216