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110122201120 = 2552923733233
BaseRepresentation
bin110011010001111001…
…0110111000000100000
3101112020121100102210111
41212203302313000200
53301012240413440
6122331152541104
710645634156641
oct1464362670040
9345217312714
10110122201120
1142780125678
1219413851794
13a4cc914969
1454895136c8
152ce7bd54ea
hex19a3cb7020

110122201120 has 48 divisors (see below), whose sum is σ = 269134873560. Its totient is φ = 42529951744.

The previous prime is 110122201097. The next prime is 110122201121. The reversal of 110122201120 is 21102221011.

It can be written as a sum of positive squares in 4 ways, for example, as 103964974096 + 6157227024 = 322436^2 + 78468^2 .

It is a super-3 number, since 3×1101222011203 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 110122201120.

It is not an unprimeable number, because it can be changed into a prime (110122201121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11861977 + ... + 11871256.

Almost surely, 2110122201120 is an apocalyptic number.

110122201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110122201120 is an abundant number, since it is smaller than the sum of its proper divisors (159012672440).

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

110122201120 is a wasteful number, since it uses less digits than its factorization.

110122201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23733277 (or 23733269 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 110122201120 its reverse (21102221011), we get a palindrome (131224422131).

The spelling of 110122201120 in words is "one hundred ten billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 23733233 47466466 94932932 118666165 189865864 237332330 379731728 474664660 688263757 759463456 949329320 1376527514 1898658640 2753055028 3441318785 3797317280 5506110056 6882637570 11012220112 13765275140 22024440224 27530550280 55061100560 110122201120