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10043131434 = 2372791812389
BaseRepresentation
bin10010101101001111…
…00000011000101010
3221220220220221022220
421112213200120222
5131032020201214
64340323054510
7503610131400
oct112647403052
927826827286
1010043131434
1142940a4326
121b43511436
13c4090c42b
146b3b8d470
153dba7c9a9
hex2569e062a

10043131434 has 96 divisors (see below), whose sum is σ = 23802105600. Its totient is φ = 2816311680.

The previous prime is 10043131421. The next prime is 10043131477. The reversal of 10043131434 is 43413134001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4202712 + ... + 4205100.

It is an arithmetic number, because the mean of its divisors is an integer number (247938600).

Almost surely, 210043131434 is an apocalyptic number.

10043131434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10043131434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11901052800).

10043131434 is an abundant number, since it is smaller than the sum of its proper divisors (13758974166).

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

10043131434 is a wasteful number, since it uses less digits than its factorization.

10043131434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10043131434 its reverse (43413134001), we get a palindrome (53456265435).

The spelling of 10043131434 in words is "ten billion, forty-three million, one hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 79 98 147 158 181 237 294 362 474 543 553 1086 1106 1267 1659 2389 2534 3318 3801 3871 4778 7167 7602 7742 8869 11613 14299 14334 16723 17738 23226 26607 28598 33446 42897 50169 53214 85794 100093 100338 117061 188731 200186 234122 300279 351183 377462 432409 566193 600558 700651 702366 864818 1132386 1297227 1321117 1401302 2101953 2594454 2642234 3026863 3963351 4203906 6053726 7926702 9080589 9247819 18161178 18495638 21188041 27743457 34160311 42376082 55486914 63564123 68320622 102480933 127128246 204961866 239122177 478244354 717366531 1434733062 1673855239 3347710478 5021565717 10043131434