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10315305336 = 23372910120963
BaseRepresentation
bin10011001101101011…
…10001000101111000
3222121220001210201210
421212311301011320
5132111204232321
64423324443120
7513423435330
oct114665610570
928556053653
1010315305336
1144137a2636
121bba6a94a0
13c8511688b
146dbd9c0c0
154058e1b76
hex266d71178

10315305336 has 128 divisors (see below), whose sum is σ = 30791923200. Its totient is φ = 2817292800.

The previous prime is 10315305331. The next prime is 10315305347. The reversal of 10315305336 is 63350351301.

10315305336 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 (10315305331) 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 31 ways as a sum of consecutive naturals, for example, 481591 + ... + 502553.

It is an arithmetic number, because the mean of its divisors is an integer number (240561900).

Almost surely, 210315305336 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 10315305336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15395961600).

10315305336 is an abundant number, since it is smaller than the sum of its proper divisors (20476617864).

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

10315305336 is a wasteful number, since it uses less digits than its factorization.

10315305336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21109 (or 21105 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 30.

Adding to 10315305336 its reverse (63350351301), we get a palindrome (73665656637).

The spelling of 10315305336 in words is "ten billion, three hundred fifteen million, three hundred five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 101 116 168 174 202 203 232 303 348 404 406 606 609 696 707 808 812 1212 1218 1414 1624 2121 2424 2436 2828 2929 4242 4872 5656 5858 8484 8787 11716 16968 17574 20503 20963 23432 35148 41006 41926 61509 62889 70296 82012 83852 123018 125778 146741 164024 167704 246036 251556 293482 440223 492072 503112 586964 607927 880446 1173928 1215854 1760892 1823781 2117263 2431708 3521784 3647562 4234526 4255489 4863416 6351789 7295124 8469052 8510978 12703578 12766467 14590248 14820841 16938104 17021956 25407156 25532934 29641682 34043912 44462523 50814312 51065868 59283364 61400627 88925046 102131736 118566728 122801254 177850092 184201881 245602508 355700184 368403762 429804389 491205016 736807524 859608778 1289413167 1473615048 1719217556 2578826334 3438435112 5157652668 10315305336