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10203043424 = 257215143093
BaseRepresentation
bin10011000000010011…
…00001011001100000
3222100001211022100012
421200021201121200
5131343434342144
64404234344052
7510561303200
oct114011413140
928301738305
1010203043424
1143663965a2
121b88b8b028
13c67a9bb02
146cb0d8400
153eab18e9e
hex260261660

10203043424 has 72 divisors (see below), whose sum is σ = 23522084208. Its totient is φ = 4343673600.

The previous prime is 10203043421. The next prime is 10203043429. The reversal of 10203043424 is 42434030201.

It is a super-2 number, since 2×102030434242 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10203043424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10203043421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215222 + ... + 258314.

It is an arithmetic number, because the mean of its divisors is an integer number (326695614).

Almost surely, 210203043424 is an apocalyptic number.

10203043424 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 10203043424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11761042104).

10203043424 is an abundant number, since it is smaller than the sum of its proper divisors (13319040784).

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

10203043424 is a wasteful number, since it uses less digits than its factorization.

10203043424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43268 (or 43253 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 10203043424 its reverse (42434030201), we get a palindrome (52637073625).

The spelling of 10203043424 in words is "ten billion, two hundred three million, forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 151 196 224 302 392 604 784 1057 1208 1568 2114 2416 4228 4832 7399 8456 14798 16912 29596 33824 43093 59192 86186 118384 172372 236768 301651 344744 603302 689488 1206604 1378976 2111557 2413208 4223114 4826416 6507043 8446228 9652832 13014086 16892456 26028172 33784912 45549301 52056344 67569824 91098602 104112688 182197204 208225376 318845107 364394408 637690214 728788816 1275380428 1457577632 2550760856 5101521712 10203043424