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110010242320 = 245111011237739
BaseRepresentation
bin110011001110100011…
…1110001010100010000
3101111221210200100012021
41212131013301110100
53300300110223240
6122312113141224
710643104426306
oct1463507612420
9344853610167
10110010242320
1142722a06340
12193a225a814
13a4b2674b54
1454786cc276
152cdce6c54a
hex199d1f1510

110010242320 has 80 divisors (see below), whose sum is σ = 281788839360. Its totient is φ = 39607616000.

The previous prime is 110010242233. The next prime is 110010242351. The reversal of 110010242320 is 23242010011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 110010242294 and 110010242303.

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 15 ways as a sum of consecutive naturals, for example, 529990 + ... + 707749.

It is an arithmetic number, because the mean of its divisors is an integer number (3522360492).

Almost surely, 2110010242320 is an apocalyptic number.

110010242320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110010242320 is an abundant number, since it is smaller than the sum of its proper divisors (171778597040).

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

110010242320 is a wasteful number, since it uses less digits than its factorization.

110010242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237864 (or 1237858 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 110010242320 its reverse (23242010011), we get a palindrome (133252252331).

The spelling of 110010242320 in words is "one hundred ten billion, ten million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1616 2020 2222 4040 4444 5555 8080 8888 11110 17776 22220 44440 88880 1237739 2475478 4950956 6188695 9901912 12377390 13615129 19803824 24754780 27230258 49509560 54460516 68075645 99019120 108921032 125011639 136151290 217842064 250023278 272302580 500046556 544605160 625058195 1000093112 1089210320 1250116390 1375128029 2000186224 2500232780 2750256058 5000465560 5500512116 6875640145 10000931120 11001024232 13751280290 22002048464 27502560580 55005121160 110010242320