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10010232512 = 267181123449
BaseRepresentation
bin10010101001010100…
…00000011011000000
3221211122000111111022
421110222000123000
5131000104420022
64333150005012
7503030400230
oct112452003300
927748014438
1010010232512
114277573935
121b344a6768
13c36b60b07
146ad667cc0
153d8c2ec42
hex254a806c0

10010232512 has 56 divisors (see below), whose sum is σ = 22827386400. Its totient is φ = 4266362880.

The previous prime is 10010232493. The next prime is 10010232527. The reversal of 10010232512 is 21523201001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19364 + ... + 142812.

It is an arithmetic number, because the mean of its divisors is an integer number (407631900).

Almost surely, 210010232512 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 10010232512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11413693200).

10010232512 is an abundant number, since it is smaller than the sum of its proper divisors (12817153888).

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

10010232512 is a wasteful number, since it uses less digits than its factorization.

10010232512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123649 (or 123639 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 10010232512 its reverse (21523201001), we get a palindrome (31533433513).

The spelling of 10010232512 in words is "ten billion, ten million, two hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 181 224 362 448 724 1267 1448 2534 2896 5068 5792 10136 11584 20272 40544 81088 123449 246898 493796 864143 987592 1728286 1975184 3456572 3950368 6913144 7900736 13826288 22344269 27652576 44688538 55305152 89377076 156409883 178754152 312819766 357508304 625639532 715016608 1251279064 1430033216 2502558128 5005116256 10010232512