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10000022312 = 23736159743
BaseRepresentation
bin10010101000000110…
…00011101100101000
3221210220210202201202
421110003003230220
5130440001203222
64332143103332
7502544534000
oct112403035450
927726722652
1010000022312
11427182a855
121b30ba1b48
13c349c7687
146ac16b000
153d7db4892
hex2540c3b28

10000022312 has 64 divisors (see below), whose sum is σ = 22224768000. Its totient is φ = 4215395520.

The previous prime is 10000022293. The next prime is 10000022321. The reversal of 10000022312 is 21322000001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10000022293 and 10000022302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137513 + ... + 197255.

It is an arithmetic number, because the mean of its divisors is an integer number (347262000).

Almost surely, 210000022312 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 10000022312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11112384000).

10000022312 is an abundant number, since it is smaller than the sum of its proper divisors (12224745688).

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

10000022312 is an equidigital number, since it uses as much as digits as its factorization.

10000022312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59831 (or 59813 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10000022312 its reverse (21322000001), we get a palindrome (31322022313).

The spelling of 10000022312 in words is "ten billion, twenty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 61 98 122 196 244 343 392 427 488 686 854 1372 1708 2744 2989 3416 5978 11956 20923 23912 41846 59743 83692 119486 167384 238972 418201 477944 836402 1672804 2927407 3345608 3644323 5854814 7288646 11709628 14577292 20491849 23419256 25510261 29154584 40983698 51020522 81967396 102041044 163934792 178571827 204082088 357143654 714287308 1250002789 1428574616 2500005578 5000011156 10000022312