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10120221244 = 22717130716267
BaseRepresentation
bin10010110110011011…
…00101001000111100
3222010021222111200001
421123031211020330
5131211234034434
64352115244044
7505534314130
oct113315451074
928107874601
1010120221244
114323668011
121b652a9624
13c53890cc3
146c00d93c0
153e3709114
hex25b36523c

10120221244 has 48 divisors (see below), whose sum is σ = 21448772352. Its totient is φ = 4078732032.

The previous prime is 10120221229. The next prime is 10120221247. The reversal of 10120221244 is 44212202101.

10120221244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120221247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613999 + ... + 630265.

It is an arithmetic number, because the mean of its divisors is an integer number (446849424).

Almost surely, 210120221244 is an apocalyptic number.

10120221244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10120221244 is an abundant number, since it is smaller than the sum of its proper divisors (11328551108).

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

10120221244 is a wasteful number, since it uses less digits than its factorization.

10120221244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17602 (or 17600 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 10120221244 its reverse (44212202101), we get a palindrome (54332423345).

The spelling of 10120221244 in words is "ten billion, one hundred twenty million, two hundred twenty-one thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 1307 2614 5228 9149 16267 18298 22219 32534 36596 44438 65068 88876 113869 155533 227738 276539 311066 455476 553078 622132 1106156 1935773 3871546 7743092 21260969 42521938 85043876 148826783 297653566 361436473 595307132 722872946 1445745892 2530055311 5060110622 10120221244