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2114434203021 = 327227717309153
BaseRepresentation
bin11110110001001110000…
…110010111110110001101
321111010201112222200100200
4132301032012113312031
5234120330123444041
64255205131044113
7305522436116100
oct36611606276615
97433645880320
102114434203021
117457a9a91298
122a195b8a0639
1312450c60b33a
14744a6932737
153a0045181b6
hex1ec4e197d8d

2114434203021 has 36 divisors (see below), whose sum is σ = 3565651105692. Its totient is φ = 1203886139904.

The previous prime is 2114434203001. The next prime is 2114434203073. The reversal of 2114434203021 is 1203024344112.

2114434203021 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 434 + 203 + 0 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 485824334121 + 1628609868900 = 697011^2 + 1276170^2 .

It is not a de Polignac number, because 2114434203021 - 219 = 2114433678733 is a prime.

It is a super-3 number, since 3×21144342030213 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114434203001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8532420 + ... + 8776733.

It is an arithmetic number, because the mean of its divisors is an integer number (99045864047).

Almost surely, 22114434203021 is an apocalyptic number.

2114434203021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2114434203021 is a deficient number, since it is larger than the sum of its proper divisors (1451216902671).

2114434203021 is a wasteful number, since it uses less digits than its factorization.

2114434203021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17309450 (or 17309440 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2114434203021 its reverse (1203024344112), we get a palindrome (3317458547133).

The spelling of 2114434203021 in words is "two trillion, one hundred fourteen billion, four hundred thirty-four million, two hundred three thousand, twenty-one".

Divisors: 1 3 7 9 21 49 63 147 277 441 831 1939 2493 5817 13573 17451 40719 122157 17309153 51927459 121164071 155782377 363492213 848148497 1090476639 2544445491 4794635381 7633336473 14383906143 33562447667 43151718429 100687343001 234937133669 302062029003 704811401007 2114434203021