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10030312128 = 263297324677
BaseRepresentation
bin10010101011101101…
…00110101011000000
3221220000210122112210
421111312212223000
5131020224442003
64335144222120
7503363150334
oct112566465300
927800718483
1010030312128
114287938a61
121b3b16a940
13c3b071545
146b21b37c4
153da899503
hex255da6ac0

10030312128 has 112 divisors (see below), whose sum is σ = 27830861280. Its totient is φ = 3183796224.

The previous prime is 10030312081. The next prime is 10030312151. The reversal of 10030312128 is 82121303001.

It is a super-2 number, since 2×100303121282 (a number of 21 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, 394126 + ... + 418802.

Almost surely, 210030312128 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 10030312128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13915430640).

10030312128 is an abundant number, since it is smaller than the sum of its proper divisors (17800549152).

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

10030312128 is a wasteful number, since it uses less digits than its factorization.

10030312128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24794 (or 24784 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10030312128 its reverse (82121303001), we get a palindrome (92151615129).

The spelling of 10030312128 in words is "ten billion, thirty million, three hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 73 87 96 116 146 174 192 219 232 292 348 438 464 584 696 876 928 1168 1392 1752 1856 2117 2336 2784 3504 4234 4672 5568 6351 7008 8468 12702 14016 16936 24677 25404 33872 49354 50808 67744 74031 98708 101616 135488 148062 197416 203232 296124 394832 406464 592248 715633 789664 1184496 1431266 1579328 1801421 2146899 2368992 2862532 3602842 4293798 4737984 5404263 5725064 7205684 8587596 10808526 11450128 14411368 17175192 21617052 22900256 28822736 34350384 43234104 45800512 52241209 57645472 68700768 86468208 104482418 115290944 137401536 156723627 172936416 208964836 313447254 345872832 417929672 626894508 835859344 1253789016 1671718688 2507578032 3343437376 5015156064 10030312128