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10304014302 = 2322941716781
BaseRepresentation
bin10011001100010101…
…01100011111011110
3222121002211011100100
421212022230133132
5132100311424202
64422242441530
7513225451011
oct114612543736
928532734310
1010304014302
1144083904aa
121bb69632a6
13c829924aa
146da69d378
1540491141c
hex2662ac7de

10304014302 has 96 divisors (see below), whose sum is σ = 23995258560. Its totient is φ = 3189312000.

The previous prime is 10304014291. The next prime is 10304014307. The reversal of 10304014302 is 20341040301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10304014307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1516152 + ... + 1522932.

It is an arithmetic number, because the mean of its divisors is an integer number (249950610).

Almost surely, 210304014302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10304014302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11997629280).

10304014302 is an abundant number, since it is smaller than the sum of its proper divisors (13691244258).

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

10304014302 is a wasteful number, since it uses less digits than its factorization.

10304014302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6930 (or 6927 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10304014302 its reverse (20341040301), we get a palindrome (30645054603).

The spelling of 10304014302 in words is "ten billion, three hundred four million, fourteen thousand, three hundred two".

Divisors: 1 2 3 6 9 18 29 41 58 71 82 87 123 142 174 213 246 261 369 426 522 639 738 1189 1278 2059 2378 2911 3567 4118 5822 6177 6781 7134 8733 10701 12354 13562 17466 18531 20343 21402 26199 37062 40686 52398 61029 84419 122058 168838 196649 253257 278021 393298 481451 506514 556042 589947 759771 834063 962902 1179894 1444353 1519542 1668126 1769841 2502189 2888706 3539682 4333059 5004378 8062609 8666118 13962079 16125218 19739491 24187827 27924158 39478982 41886237 48375654 59218473 72563481 83772474 118436946 125658711 145126962 177655419 251317422 355310838 572445239 1144890478 1717335717 3434671434 5152007151 10304014302