Search a number
-
+
110011123012320 = 2532576396613203
BaseRepresentation
bin11001000000110111110101…
…111010001001001011100000
3112102111221221022110100112100
4121000313311322021023200
5103404410234442343240
61025550225012330400
732113020116541105
oct3100676572111340
9472457838410470
10110011123012320
1132064500a57a62
1210408a86613a00
134950009838b5a
141d247d12b2aac
15cab995e9ee30
hex640df5e892e0

110011123012320 has 72 divisors (see below), whose sum is σ = 375412957284456. Its totient is φ = 29336299469568.

The previous prime is 110011123012279. The next prime is 110011123012393. The reversal of 110011123012320 is 23210321110011.

110011123012320 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 111 + 230 + 1 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110011123012293 and 110011123012302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38198305162 + ... + 38198308041.

It is an arithmetic number, because the mean of its divisors is an integer number (5214068851173).

Almost surely, 2110011123012320 is an apocalyptic number.

110011123012320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110011123012320 is an abundant number, since it is smaller than the sum of its proper divisors (265401834272136).

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

110011123012320 is a wasteful number, since it uses less digits than its factorization.

110011123012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76396613224 (or 76396613213 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 110011123012320 its reverse (23210321110011), we get a palindrome (133221444122331).

The spelling of 110011123012320 in words is "one hundred ten trillion, eleven billion, one hundred twenty-three million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 76396613203 152793226406 229189839609 305586452812 381983066015 458379679218 611172905624 687569518827 763966132030 916759358436 1145949198045 1222345811248 1375139037654 1527932264060 1833518716872 2291898396090 2444691622496 2750278075308 3055864528120 3437847594135 3667037433744 4583796792180 5500556150616 6111729056240 6875695188270 7334074867488 9167593584360 11001112301232 12223458112480 13751390376540 18335187168720 22002224602464 27502780753080 36670374337440 55005561506160 110011123012320