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111200220096 = 2637139959141
BaseRepresentation
bin110011110010000001…
…1001011001111000000
3101122000201211110211020
41213210003023033000
53310214224020341
6123030142345440
711014434163260
oct1474403131700
9348021743736
10111200220096
1143183697249
121967488b280
13a64206a604
14554c76d7a0
152d5c678566
hex19e40cb3c0

111200220096 has 112 divisors (see below), whose sum is σ = 336494323200. Its totient is φ = 31748244480.

The previous prime is 111200220091. The next prime is 111200220127. The reversal of 111200220096 is 690022002111.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111200220091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1850686 + ... + 1909826.

It is an arithmetic number, because the mean of its divisors is an integer number (3004413600).

Almost surely, 2111200220096 is an apocalyptic number.

111200220096 is a gapful number since it is divisible by the number (16) 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 111200220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168247161600).

111200220096 is an abundant number, since it is smaller than the sum of its proper divisors (225294103104).

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

111200220096 is a wasteful number, since it uses less digits than its factorization.

111200220096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60562 (or 60552 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 111200220096 in words is "one hundred eleven billion, two hundred million, two hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1399 2798 4197 5596 8394 9793 11192 16788 19586 22384 29379 33576 39172 44768 58758 59141 67152 78344 89536 117516 118282 134304 156688 177423 235032 236564 268608 313376 354846 413987 470064 473128 626752 709692 827974 940128 946256 1241961 1419384 1655948 1880256 1892512 2483922 2838768 3311896 3785024 4967844 5677536 6623792 9935688 11355072 13247584 19871376 26495168 39742752 79485504 82738259 165476518 248214777 330953036 496429554 579167813 661906072 992859108 1158335626 1323812144 1737503439 1985718216 2316671252 2647624288 3475006878 3971436432 4633342504 5295248576 6950013756 7942872864 9266685008 13900027512 15885745728 18533370016 27800055024 37066740032 55600110048 111200220096