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10313042224 = 241924573907
BaseRepresentation
bin10011001101011010…
…01000100100110000
3222121201210211022211
421212231020210300
5132110114322344
64423204141504
7513365261332
oct114655104460
928551724284
1010313042224
1144124972a1
121bb9997894
13c84803764
146db96d452
154055e6334
hex266b48930

10313042224 has 60 divisors (see below), whose sum is σ = 21140083704. Its totient is φ = 4873188096.

The previous prime is 10313042221. The next prime is 10313042237. The reversal of 10313042224 is 42224031301.

It is a junction number, because it is equal to n+sod(n) for n = 10313042195 and 10313042204.

It is not an unprimeable number, because it can be changed into a prime (10313042221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2637679 + ... + 2641585.

Almost surely, 210313042224 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 10313042224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10570041852).

10313042224 is an abundant number, since it is smaller than the sum of its proper divisors (10827041480).

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

10313042224 is a wasteful number, since it uses less digits than its factorization.

10313042224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4410 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10313042224 its reverse (42224031301), we get a palindrome (52537073525).

The spelling of 10313042224 in words is "ten billion, three hundred thirteen million, forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 457 722 914 1444 1828 2888 3656 3907 5776 7312 7814 8683 15628 17366 31256 34732 62512 69464 74233 138928 148466 164977 296932 329954 593864 659908 1187728 1319816 1410427 1785499 2639632 2820854 3570998 5641708 7141996 11283416 14283992 22566832 28567984 33924481 67848962 135697924 271395848 542791696 644565139 1289130278 2578260556 5156521112 10313042224