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3102331000032 = 2532117759126211
BaseRepresentation
bin101101001001010001010…
…101100101010011100000
3101222120122210002200121100
4231021101111211103200
5401312033214000112
610333105143554400
7440064440256045
oct55112125452340
911876583080540
103102331000032
11a96766a76690
1242130445ba00
131967192499b4
14aa2217751cc
1555a734252dc
hex2d2515654e0

3102331000032 has 144 divisors (see below), whose sum is σ = 9625593519360. Its totient is φ = 939971692800.

The previous prime is 3102330999973. The next prime is 3102331000049. The reversal of 3102331000032 is 2300001332013.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3102330999969 and 3102331000014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24517407 + ... + 24643617.

It is an arithmetic number, because the mean of its divisors is an integer number (66844399440).

Almost surely, 23102331000032 is an apocalyptic number.

3102331000032 is a gapful number since it is divisible by the number (32) 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 3102331000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812796759680).

3102331000032 is an abundant number, since it is smaller than the sum of its proper divisors (6523262519328).

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

3102331000032 is a wasteful number, since it uses less digits than its factorization.

3102331000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133997 (or 133986 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3102331000032 its reverse (2300001332013), we get a palindrome (5402332332045).

The spelling of 3102331000032 in words is "three trillion, one hundred two billion, three hundred thirty-one million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 7759 15518 23277 31036 46554 62072 69831 85349 93108 124144 126211 139662 170698 186216 248288 252422 256047 279324 341396 372432 378633 504844 512094 558648 682792 744864 757266 768141 1009688 1024188 1117296 1135899 1365584 1388321 1514532 1536282 2019376 2048376 2234592 2271798 2731168 2776642 3029064 3072564 4038752 4096752 4164963 4543596 5553284 6058128 6145128 8193504 8329926 9087192 11106568 12116256 12290256 12494889 16659852 18174384 22213136 24580512 24989778 33319704 36348768 44426272 49979556 66639408 99959112 133278816 199918224 399836448 979271149 1958542298 2937813447 3917084596 5875626894 7834169192 8813440341 10771982639 11751253788 15668338384 17626880682 21543965278 23502507576 31336676768 32315947917 35253761364 43087930556 47005015152 64631895834 70507522728 86175861112 94010030304 96947843751 129263791668 141015045456 172351722224 193895687502 258527583336 282030090912 344703444448 387791375004 517055166672 775582750008 1034110333344 1551165500016 3102331000032