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10315210304 = 26727394451
BaseRepresentation
bin10011001101101010…
…11001111001000000
3222121212212222101002
421212311121321000
5132111143212204
64423322431132
7513422561300
oct114665317100
928555788332
1010315210304
1144137381a3
121bba6624a8
13c850b2549
146dbd75600
154058c391e
hex266d59e40

10315210304 has 84 divisors (see below), whose sum is σ = 23848740720. Its totient is φ = 4413830400.

The previous prime is 10315210261. The next prime is 10315210331. The reversal of 10315210304 is 40301251301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2315279 + ... + 2319729.

It is an arithmetic number, because the mean of its divisors is an integer number (283913580).

Almost surely, 210315210304 is an apocalyptic number.

10315210304 is a gapful number since it is divisible by the number (14) 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 10315210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11924370360).

10315210304 is an abundant number, since it is smaller than the sum of its proper divisors (13533530416).

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

10315210304 is an equidigital number, since it uses as much as digits as its factorization.

10315210304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5216 (or 5199 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 10315210304 its reverse (40301251301), we get a palindrome (50616461605).

The spelling of 10315210304 in words is "ten billion, three hundred fifteen million, two hundred ten thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 739 784 1478 1568 2956 3136 4451 5173 5912 8902 10346 11824 17804 20692 23648 31157 35608 36211 41384 47296 62314 71216 72422 82768 124628 142432 144844 165536 218099 249256 284864 289688 331072 436198 498512 579376 872396 997024 1158752 1744792 1994048 2317504 3289289 3489584 6578578 6979168 13157156 13958336 23025023 26314312 46050046 52628624 92100092 105257248 161175161 184200184 210514496 322350322 368400368 644700644 736800736 1289401288 1473601472 2578802576 5157605152 10315210304