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110102115072 = 283437194637
BaseRepresentation
bin110011010001010011…
…0001111001100000000
3101112012012112221220210
41212202212033030000
53300442120140242
6122325154234120
710645301352015
oct1464246171400
9345165487823
10110102115072
114276a856734
1219408b85940
13a4c8701321
1454869a570c
152ce6068d9c
hex19a298f300

110102115072 has 144 divisors (see below), whose sum is σ = 300328680960. Its totient is φ = 35789623296.

The previous prime is 110102115007. The next prime is 110102115073. The reversal of 110102115072 is 270511201011.

It is not an unprimeable number, because it can be changed into a prime (110102115073) 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, 23741938 + ... + 23746574.

It is an arithmetic number, because the mean of its divisors is an integer number (2085615840).

Almost surely, 2110102115072 is an apocalyptic number.

110102115072 is a gapful number since it is divisible by the number (12) 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 110102115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150164340480).

110102115072 is an abundant number, since it is smaller than the sum of its proper divisors (190226565888).

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

110102115072 is an equidigital number, since it uses as much as digits as its factorization.

110102115072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5418 (or 5404 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 21.

Adding to 110102115072 its reverse (270511201011), we get a palindrome (380613316083).

The spelling of 110102115072 in words is "one hundred ten billion, one hundred two million, one hundred fifteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 516 688 719 768 1032 1376 1438 2064 2157 2752 2876 4128 4314 4637 5504 5752 8256 8628 9274 11008 11504 13911 16512 17256 18548 23008 27822 30917 33024 34512 37096 46016 55644 61834 69024 74192 92032 92751 111288 123668 138048 148384 184064 185502 199391 222576 247336 276096 296768 371004 398782 445152 494672 552192 593536 598173 742008 797564 890304 989344 1187072 1196346 1484016 1595128 1780608 1978688 2392692 2968032 3190256 3334003 3561216 3957376 4785384 5936064 6380512 6668006 7914752 9570768 10002009 11872128 12761024 13336012 19141536 20004018 23744256 25522048 26672024 38283072 40008036 51044096 53344048 76566144 80016072 106688096 143362129 153132288 160032144 213376192 286724258 320064288 426752384 430086387 573448516 640128576 853504768 860172774 1146897032 1280257152 1720345548 2293794064 2560514304 3440691096 4587588128 6881382192 9175176256 13762764384 18350352512 27525528768 36700705024 55051057536 110102115072