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110213224213140 = 22325612295690073
BaseRepresentation
bin11001000011110100000100…
…000101000010101010010100
3112110020021121002112002200100
4121003310010011002222110
5103421213140344310030
61030223131202414100
732133433303443036
oct3103640405025224
9473207532462610
10110213224213140
11321321908a7464
1210440089961330
1349660a7276609
141d304c4473c56
15cb1d73b27360
hex643d04142a94

110213224213140 has 36 divisors (see below), whose sum is σ = 334313446780404. Its totient is φ = 29390193123456.

The previous prime is 110213224213129. The next prime is 110213224213181. The reversal of 110213224213140 is 41312422312011.

110213224213140 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 1 + 322 + 4 + 21 + 314 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17213354614404 + 92999869598736 = 4148898^2 + 9643644^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306147844857 + ... + 306147845216.

It is an arithmetic number, because the mean of its divisors is an integer number (9286484632789).

Almost surely, 2110213224213140 is an apocalyptic number.

110213224213140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110213224213140 is an abundant number, since it is smaller than the sum of its proper divisors (224100222567264).

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

110213224213140 is a wasteful number, since it uses less digits than its factorization.

110213224213140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612295690088 (or 612295690083 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 110213224213140 its reverse (41312422312011), we get a palindrome (151525646525151).

The spelling of 110213224213140 in words is "one hundred ten trillion, two hundred thirteen billion, two hundred twenty-four million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 612295690073 1224591380146 1836887070219 2449182760292 3061478450365 3673774140438 5510661210657 6122956900730 7347548280876 9184435351095 11021322421314 12245913801460 18368870702190 22042644842628 27553306053285 36737741404380 55106612106570 110213224213140