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110448981320 = 235191453100019
BaseRepresentation
bin110011011011101000…
…1011011010101001000
3101120002101020120221212
41212313101123111020
53302144414400240
6122423424552252
710660012564616
oct1466721332510
9346071216855
10110448981320
1142928630457
12194a5182688
13a55252b022
1454baa986b6
152d16734165
hex19b745b548

110448981320 has 64 divisors (see below), whose sum is σ = 261772344000. Its totient is φ = 41825127168.

The previous prime is 110448981299. The next prime is 110448981341. The reversal of 110448981320 is 23189844011.

110448981320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (110448981299) and next prime (110448981341).

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1054271 + ... + 1154289.

It is an arithmetic number, because the mean of its divisors is an integer number (4090192875).

Almost surely, 2110448981320 is an apocalyptic number.

110448981320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110448981320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130886172000).

110448981320 is an abundant number, since it is smaller than the sum of its proper divisors (151323362680).

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

110448981320 is a wasteful number, since it uses less digits than its factorization.

110448981320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101502 (or 101498 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The spelling of 110448981320 in words is "one hundred ten billion, four hundred forty-eight million, nine hundred eighty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1453 2906 5812 7265 11624 14530 27607 29060 55214 58120 100019 110428 138035 200038 220856 276070 400076 500095 552140 800152 1000190 1104280 1900361 2000380 3800722 4000760 7601444 9501805 15202888 19003610 38007220 76014440 145327607 290655214 581310428 726638035 1162620856 1453276070 2761224533 2906552140 5522449066 5813104280 11044898132 13806122665 22089796264 27612245330 55224490660 110448981320