Search a number
-
+
10313254336 = 2671119110957
BaseRepresentation
bin10011001101011011…
…11100010111000000
3222121202012121021211
421212231330113000
5132110143114321
64423212455504
7513400133620
oct114655742700
928552177254
1010313254336
1144126216a0
121bb9a7a594
13c84879178
146db9c6880
154056390e1
hex266b7c5c0

10313254336 has 112 divisors (see below), whose sum is σ = 25651187712. Its totient is φ = 3996748800.

The previous prime is 10313254309. The next prime is 10313254363. The reversal of 10313254336 is 63345231301.

10313254336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10313254309) and next prime (10313254363).

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 10313254298 and 10313254307.

It is a congruent number.

It is an unprimeable number.

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, 935770 + ... + 946726.

Almost surely, 210313254336 is an apocalyptic number.

10313254336 is a gapful number since it is divisible by the number (16) 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 10313254336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12825593856).

10313254336 is an abundant number, since it is smaller than the sum of its proper divisors (15337933376).

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

10313254336 is a wasteful number, since it uses less digits than its factorization.

10313254336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11178 (or 11168 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

Adding to 10313254336 its reverse (63345231301), we get a palindrome (73658485637).

The spelling of 10313254336 in words is "ten billion, three hundred thirteen million, two hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 191 224 308 352 382 448 616 704 764 1232 1337 1528 2101 2464 2674 3056 4202 4928 5348 6112 8404 10696 10957 12224 14707 16808 21392 21914 29414 33616 42784 43828 58828 67232 76699 85568 87656 117656 120527 134464 153398 175312 235312 241054 306796 350624 470624 482108 613592 701248 843689 941248 964216 1227184 1687378 1928432 2092787 2454368 3374756 3856864 4185574 4908736 6749512 7713728 8371148 13499024 14649509 16742296 23020657 26998048 29299018 33484592 46041314 53996096 58598036 66969184 92082628 117196072 133938368 161144599 184165256 234392144 322289198 368330512 468784288 644578396 736661024 937568576 1289156792 1473322048 2578313584 5156627168 10313254336