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110071331305 = 5131901890797
BaseRepresentation
bin110011010000011000…
…0110011100111101001
3101112010001121222112021
41212200300303213221
53300411230100210
6122322134344441
710644445610305
oct1464060634751
9345101558467
10110071331305
1142754440401
12193ba7bb121
13a4c2213690
145482870d05
152ce34d7bda
hex19a0c339e9

110071331305 has 16 divisors (see below), whose sum is σ = 142321014864. Its totient is φ = 81240595200.

The previous prime is 110071331287. The next prime is 110071331309. The reversal of 110071331305 is 503133170011.

It can be written as a sum of positive squares in 8 ways, for example, as 16084326976 + 93987004329 = 126824^2 + 306573^2 .

It is not a de Polignac number, because 110071331305 - 217 = 110071200233 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 110071331305.

It is not an unprimeable number, because it can be changed into a prime (110071331309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321834 + ... + 568963.

It is an arithmetic number, because the mean of its divisors is an integer number (8895063429).

Almost surely, 2110071331305 is an apocalyptic number.

It is an amenable number.

110071331305 is a deficient number, since it is larger than the sum of its proper divisors (32249683559).

110071331305 is a wasteful number, since it uses less digits than its factorization.

110071331305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892716.

The product of its (nonzero) digits is 945, while the sum is 25.

The spelling of 110071331305 in words is "one hundred ten billion, seventy-one million, three hundred thirty-one thousand, three hundred five".

Divisors: 1 5 13 65 1901 9505 24713 123565 890797 4453985 11580361 57901805 1693405097 8467025485 22014266261 110071331305