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2011003434 = 23211192918433
BaseRepresentation
bin111011111011101…
…0111101000101010
312012011001120002200
41313313113220222
513104304102214
6531314441030
7100556150526
oct16767275052
95164046080
102011003434
11942182710
12481593176
1326082a87b
14151120d86
15bb837d09
hex77dd7a2a

2011003434 has 96 divisors (see below), whose sum is σ = 5176267200. Its totient is φ = 557383680.

The previous prime is 2011003427. The next prime is 2011003447. The reversal of 2011003434 is 4343001102.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 99882 + ... + 118314.

It is an arithmetic number, because the mean of its divisors is an integer number (53919450).

Almost surely, 22011003434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011003434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588133600).

2011003434 is an abundant number, since it is smaller than the sum of its proper divisors (3165263766).

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

2011003434 is a wasteful number, since it uses less digits than its factorization.

2011003434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18500 (or 18497 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2011003434 is about 44844.2129376802. The cubic root of 2011003434 is about 1262.2274017730.

Adding to 2011003434 its reverse (4343001102), we get a palindrome (6354004536).

The spelling of 2011003434 in words is "two billion, eleven million, three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 19 22 29 33 38 57 58 66 87 99 114 171 174 198 209 261 319 342 418 522 551 627 638 957 1102 1254 1653 1881 1914 2871 3306 3762 4959 5742 6061 9918 12122 18183 18433 36366 36866 54549 55299 109098 110598 165897 202763 331794 350227 405526 534557 608289 700454 1050681 1069114 1216578 1603671 1824867 2101362 3152043 3207342 3649734 3852497 4811013 5880127 6304086 7704994 9622026 10156583 11557491 11760254 17640381 20313166 23114982 30469749 34672473 35280762 52921143 60939498 69344946 91409247 105842286 111722413 182818494 223444826 335167239 670334478 1005501717 2011003434