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300310013224 = 2313109157168737
BaseRepresentation
bin1000101111010111101…
…11110010010100101000
31001201011010021022221101
410113223313302110220
514410013330410344
6345543245451144
730460650665104
oct4275367622450
91051133238841
10300310013224
111063a719a881
124a251270ab4
132241c1242a0
141076c3a0904
157c299e99d4
hex45ebdf2528

300310013224 has 64 divisors (see below), whose sum is σ = 615859952400. Its totient is φ = 136457478144.

The previous prime is 300310013207. The next prime is 300310013251. The reversal of 300310013224 is 422310013003.

It can be written as a sum of positive squares in 8 ways, for example, as 64034302500 + 236275710724 = 253050^2 + 486082^2 .

It is a super-2 number, since 2×3003100132242 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1695384 + ... + 1864120.

Almost surely, 2300310013224 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 300310013224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307929976200).

300310013224 is an abundant number, since it is smaller than the sum of its proper divisors (315549939176).

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

300310013224 is a wasteful number, since it uses less digits than its factorization.

300310013224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169022 (or 169018 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 300310013224 its reverse (422310013003), we get a palindrome (722620026227).

The spelling of 300310013224 in words is "three hundred billion, three hundred ten million, thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 109 157 218 314 436 628 872 1256 1417 2041 2834 4082 5668 8164 11336 16328 17113 34226 68452 136904 168737 222469 337474 444938 674948 889876 1349896 1779752 2193581 4387162 8774324 17548648 18392333 26491709 36784666 52983418 73569332 105966836 147138664 211933672 239100329 344392217 478200658 688784434 956401316 1377568868 1912802632 2755137736 2887596281 5775192562 11550385124 23100770248 37538751653 75077503306 150155006612 300310013224