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10000434411 = 3211101999131
BaseRepresentation
bin10010101000001001…
…01000010011101011
3221210221120201000200
421110010220103223
5130440102400121
64332200003243
7502551201312
oct112404502353
927727521020
1010000434411
114271a91430
121b31160523
13c34b10116
146ac237279
153d7e46a26
hex2541284eb

10000434411 has 24 divisors (see below), whose sum is σ = 15773883840. Its totient is φ = 6054860400.

The previous prime is 10000434401. The next prime is 10000434461. The reversal of 10000434411 is 11443400001.

It is not a de Polignac number, because 10000434411 - 211 = 10000432363 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10000434401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51316 + ... + 150446.

It is an arithmetic number, because the mean of its divisors is an integer number (657245160).

Almost surely, 210000434411 is an apocalyptic number.

10000434411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10000434411 is a deficient number, since it is larger than the sum of its proper divisors (5773449429).

10000434411 is a wasteful number, since it uses less digits than its factorization.

10000434411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100167 (or 100164 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10000434411 its reverse (11443400001), we get a palindrome (21443834412).

The spelling of 10000434411 in words is "ten billion, four hundred thirty-four thousand, four hundred eleven".

Divisors: 1 3 9 11 33 99 1019 3057 9171 11209 33627 99131 100881 297393 892179 1090441 3271323 9813969 101014489 303043467 909130401 1111159379 3333478137 10000434411