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2110001340441 = 312744203125287
BaseRepresentation
bin11110101101000101111…
…000010110000000011001
321110201021121202221002010
4132231011320112000121
5234032240320343231
64253153215300133
7305304541320351
oct36550570260031
97421247687063
102110001340441
11743934826aa5
122a0b2321a649
13123c84110427
14741a5d01b61
1539d4528c546
hex1eb45e16019

2110001340441 has 16 divisors (see below), whose sum is σ = 2835574145024. Its totient is φ = 1395548726544.

The previous prime is 2110001340431. The next prime is 2110001340457. The reversal of 2110001340441 is 1440431000112.

It is not a de Polignac number, because 2110001340441 - 27 = 2110001340313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2110001340431) 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 15 ways as a sum of consecutive naturals, for example, 16778700 + ... + 16903986.

It is an arithmetic number, because the mean of its divisors is an integer number (177223384064).

Almost surely, 22110001340441 is an apocalyptic number.

It is an amenable number.

2110001340441 is a deficient number, since it is larger than the sum of its proper divisors (725572804583).

2110001340441 is a wasteful number, since it uses less digits than its factorization.

2110001340441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169620.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 2110001340441 its reverse (1440431000112), we get a palindrome (3550432340553).

It can be divided in two parts, 211000 and 1340441, that added together give a triangular number (1551441 = T1761).

The spelling of 2110001340441 in words is "two trillion, one hundred ten billion, one million, three hundred forty thousand, four hundred forty-one".

Divisors: 1 3 127 381 44203 125287 132609 375861 5613781 15911449 16841343 47734347 5538061261 16614183783 703333780147 2110001340441