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10000011110001 = 3114317594006381
BaseRepresentation
bin1001000110000100111100…
…0111000010011001110001
31022101222202222010200212220
42101201033013002121301
52302320010321010001
633133535223111253
72051322411646053
oct221411707023161
938358688120786
1010000011110001
113205a87632140
12115609b5a2529
13576cc65483a3
142680087c18d3
151251cadd9c36
hex9184f1c2671

10000011110001 has 32 divisors (see below), whose sum is σ = 14892202659840. Its totient is φ = 5916301473600.

The previous prime is 10000011109909. The next prime is 10000011110027. The reversal of 10000011110001 is 10001111000001.

It is not a de Polignac number, because 10000011110001 - 27 = 10000011109873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10000011110051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492831 + ... + 4499211.

It is an arithmetic number, because the mean of its divisors is an integer number (465381333120).

Almost surely, 210000011110001 is an apocalyptic number.

10000011110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000011110001 is a deficient number, since it is larger than the sum of its proper divisors (4892191549839).

10000011110001 is a wasteful number, since it uses less digits than its factorization.

10000011110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008197.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10000011110001 its reverse (10001111000001), we get a palindrome (20001122110002).

The spelling of 10000011110001 in words is "ten trillion, eleven million, one hundred ten thousand, one".

Divisors: 1 3 11 33 43 129 473 1419 1759 5277 19349 58047 75637 226911 832007 2496021 4006381 12019143 44070191 132210573 172274383 516823149 1895018213 5685054639 7047224179 21141672537 77519465969 232558397907 303030639697 909091919091 3333337036667 10000011110001