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10294286343 = 3113147251853
BaseRepresentation
bin10011001011001011…
…00101100000000111
3222120102111221002120
421211211211200013
5132040314130333
64421254141023
7513046663425
oct114545454007
928512457076
1010294286343
114402946770
121bb3651773
13c809676c3
146d928a115
15403b3ddb3
hex265965807

10294286343 has 64 divisors (see below), whose sum is σ = 15866855424. Its totient is φ = 5878800000.

The previous prime is 10294286297. The next prime is 10294286377. The reversal of 10294286343 is 34368249201.

It is not a de Polignac number, because 10294286343 - 214 = 10294269959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10294286295 and 10294286304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10294286383) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12067905 + ... + 12068757.

It is an arithmetic number, because the mean of its divisors is an integer number (247919616).

Almost surely, 210294286343 is an apocalyptic number.

10294286343 is a deficient number, since it is larger than the sum of its proper divisors (5572569081).

10294286343 is a wasteful number, since it uses less digits than its factorization.

10294286343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196.

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 10294286343 in words is "ten billion, two hundred ninety-four million, two hundred eighty-six thousand, three hundred forty-three".

Divisors: 1 3 11 31 33 47 93 141 251 341 517 753 853 1023 1457 1551 2559 2761 4371 7781 8283 9383 11797 16027 23343 26443 28149 35391 40091 48081 79329 85591 120273 129767 214103 256773 290873 365707 389301 441001 642309 872619 1097121 1242821 1323003 2355133 3728463 4022777 6637193 7065399 10062841 12068331 13671031 19911579 30188523 41013093 73009123 110691251 219027369 311948071 332073753 935844213 3431428781 10294286343