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2306132030032 = 2417163165731391
BaseRepresentation
bin100001100011110000001…
…011100011001001010000
322011110112022021021112121
4201203300023203021100
5300240424244430112
64523231124504024
7325420046553115
oct41436013431120
98143468237477
102306132030032
1180a030456aa6
12312b3ab4b014
1313960c9084cc
147d89016c90c
153eec3ba4407
hex218f02e3250

2306132030032 has 80 divisors (see below), whose sum is σ = 4763010719232. Its totient is φ = 1077895434240.

The previous prime is 2306132029991. The next prime is 2306132030047. The reversal of 2306132030032 is 2300302316032.

It is a junction number, because it is equal to n+sod(n) for n = 2306132029979 and 2306132030006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73449057 + ... + 73480447.

Almost surely, 22306132030032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2306132030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381505359616).

2306132030032 is an abundant number, since it is smaller than the sum of its proper divisors (2456878689200).

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

2306132030032 is a wasteful number, since it uses less digits than its factorization.

2306132030032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33236 (or 33230 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 2306132030032 its reverse (2300302316032), we get a palindrome (4606434346064).

The spelling of 2306132030032 in words is "two trillion, three hundred six billion, one hundred thirty-two million, thirty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 163 272 326 652 1304 1657 2608 2771 3314 5542 6628 11084 13256 22168 26512 28169 31391 44336 56338 62782 112676 125564 225352 251128 270091 450704 502256 533647 540182 1067294 1080364 2134588 2160728 4269176 4321456 4591547 5116733 8538352 9183094 10233466 18366188 20466932 36732376 40933864 52014887 73464752 81867728 86984461 104029774 173968922 208059548 347937844 416119096 695875688 832238192 884253079 1391751376 1768506158 3537012316 7074024632 8478426581 14148049264 16956853162 33913706324 67827412648 135654825296 144133251877 288266503754 576533007508 1153066015016 2306132030032