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10217710244 = 22729118710601
BaseRepresentation
bin10011000010000010…
…11110001010100100
3222101002102110102202
421201001132022210
5131411213211434
64405520554032
7511130050460
oct114101361244
928332373382
1010217710244
1143736a3a35
121b91a82918
13c6ab358c1
146cd0354a0
153ec064a7e
hex26105e2a4

10217710244 has 48 divisors (see below), whose sum is σ = 21159895680. Its totient is φ = 4224057600.

The previous prime is 10217710241. The next prime is 10217710271. The reversal of 10217710244 is 44201771201.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (10217710241) by changing a digit.

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, 958544 + ... + 969144.

It is an arithmetic number, because the mean of its divisors is an integer number (440831160).

Almost surely, 210217710244 is an apocalyptic number.

10217710244 is a gapful number since it is divisible by the number (14) 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 10217710244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10579947840).

10217710244 is an abundant number, since it is smaller than the sum of its proper divisors (10942185436).

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

10217710244 is a wasteful number, since it uses less digits than its factorization.

10217710244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11828 (or 11826 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The spelling of 10217710244 in words is "ten billion, two hundred seventeen million, seven hundred ten thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 1187 2374 4748 8309 10601 16618 21202 33236 34423 42404 68846 74207 137692 148414 240961 296828 307429 481922 614858 963844 1229716 2152003 4304006 8608012 12583387 25166774 50333548 88083709 176167418 352334836 364918223 729836446 1459672892 2554427561 5108855122 10217710244