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110210200192 = 2713754111617
BaseRepresentation
bin110011010100100001…
…0100011001010000000
3101112110201221020211101
41212221002203022000
53301202302401232
6122344015024144
710651053150001
oct1465102431200
9345421836741
10110210200192
114281586a684
121943920b054
13a514c15c11
14549709d1a8
152d007b91e7
hex19a90a3280

110210200192 has 64 divisors (see below), whose sum is σ = 221589881640. Its totient is φ = 54597058560.

The previous prime is 110210200147. The next prime is 110210200223. The reversal of 110210200192 is 291002012011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 86732606016 + 23477594176 = 294504^2 + 153224^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9481168 + ... + 9492784.

Almost surely, 2110210200192 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 110210200192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110794940820).

110210200192 is an abundant number, since it is smaller than the sum of its proper divisors (111379681448).

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

110210200192 is a wasteful number, since it uses less digits than its factorization.

110210200192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12309 (or 12297 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 110210200192 in words is "one hundred ten billion, two hundred ten million, two hundred thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 137 274 541 548 1082 1096 2164 2192 4328 4384 8656 8768 11617 17312 17536 23234 34624 46468 69248 74117 92936 148234 185872 296468 371744 592936 743488 1185872 1486976 1591529 2371744 3183058 4743488 6284797 6366116 9486976 12569594 12732232 25139188 25464464 50278376 50928928 100556752 101857856 201113504 203715712 402227008 804454016 861017189 1722034378 3444068756 6888137512 13776275024 27552550048 55105100096 110210200192