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112116354852 = 223232119971931
BaseRepresentation
bin110100001101010100…
…1111100111100100100
3101201101120200221110010
41220122221330330210
53314103241323402
6123301110330220
711046230202135
oct1503251747444
9351346627403
10112116354852
1143603839907
121988b659970
13a759ac2c98
1455d82c9c8c
152db2ce0a6c
hex1a1aa7cf24

112116354852 has 96 divisors (see below), whose sum is σ = 274689967104. Its totient is φ = 35523734400.

The previous prime is 112116354841. The next prime is 112116354863. The reversal of 112116354852 is 258453611211.

It is an interprime number because it is at equal distance from previous prime (112116354841) and next prime (112116354863).

It is a self number, because there is not a number n which added to its sum of digits gives 112116354852.

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 31 ways as a sum of consecutive naturals, for example, 58060327 + ... + 58062257.

It is an arithmetic number, because the mean of its divisors is an integer number (2861353824).

Almost surely, 2112116354852 is an apocalyptic number.

112116354852 is a gapful number since it is divisible by the number (12) 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 112116354852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137344983552).

112116354852 is an abundant number, since it is smaller than the sum of its proper divisors (162573612252).

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

112116354852 is a wasteful number, since it uses less digits than its factorization.

112116354852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169 (or 3167 counting only the distinct ones).

The product of its digits is 57600, while the sum is 39.

The spelling of 112116354852 in words is "one hundred twelve billion, one hundred sixteen million, three hundred fifty-four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 211 276 422 633 844 997 1266 1931 1994 2532 2991 3862 3988 4853 5793 5982 7724 9706 11586 11964 14559 19412 22931 23172 29118 44413 45862 58236 68793 88826 91724 133239 137586 177652 210367 266478 275172 407441 420734 532956 631101 814882 841468 1222323 1262202 1629764 1925207 2444646 2524404 3850414 4838441 4889292 5775621 7700828 9371143 9676882 11551242 14515323 18742286 19353764 23102484 28113429 29030646 37484572 44279761 56226858 58061292 88559522 112453716 132839283 177119044 265678566 406218677 531357132 812437354 1218656031 1624874708 2437312062 4874624124 9343029571 18686059142 28029088713 37372118284 56058177426 112116354852