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10203312224 = 257312276473
BaseRepresentation
bin10011000000010101…
…00011000001100000
3222100002022222001202
421200022203001200
5131344021442344
64404244220332
7510563502650
oct114012430140
928302288052
1010203312224
11436655a546
121b8909a6a8
13c67b64271
146cb168360
153eab6d94e
hex2602a3060

10203312224 has 96 divisors (see below), whose sum is σ = 23806089216. Its totient is φ = 4212495360.

The previous prime is 10203312199. The next prime is 10203312241. The reversal of 10203312224 is 42221330201.

It is a junction number, because it is equal to n+sod(n) for n = 10203312196 and 10203312205.

It is a congruent number.

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, 1573052 + ... + 1579524.

It is an arithmetic number, because the mean of its divisors is an integer number (247980096).

Almost surely, 210203312224 is an apocalyptic number.

10203312224 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 10203312224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11903044608).

10203312224 is an abundant number, since it is smaller than the sum of its proper divisors (13602776992).

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

10203312224 is a wasteful number, since it uses less digits than its factorization.

10203312224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6748 (or 6740 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10203312224 its reverse (42221330201), we get a palindrome (52424642425).

The spelling of 10203312224 in words is "ten billion, two hundred three million, three hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 227 248 434 454 496 868 908 992 1589 1736 1816 3178 3472 3632 6356 6473 6944 7037 7264 12712 12946 14074 25424 25892 28148 45311 49259 50848 51784 56296 90622 98518 103568 112592 181244 197036 200663 207136 225184 362488 394072 401326 724976 788144 802652 1404641 1449952 1469371 1576288 1605304 2809282 2938742 3210608 5618564 5877484 6421216 10285597 11237128 11754968 20571194 22474256 23509936 41142388 44948512 45550501 47019872 82284776 91101002 164569552 182202004 318853507 329139104 364404008 637707014 728808016 1275414028 1457616032 2550828056 5101656112 10203312224