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9983142270881 = 13171014091093529
BaseRepresentation
bin1001000101000110000110…
…1001100001011110100001
31022100101020100102212212122
42101101201221201132201
52302030433410132011
633122105305234025
72050154400122063
oct221214151413641
938311210385778
109983142270881
1131a991060868a
121152972192915
13575538788c90
142672882c5733
15124a3eec03db
hex91461a617a1

9983142270881 has 32 divisors (see below), whose sum is σ = 11524318999200. Its totient is φ = 8566260940800.

The previous prime is 9983142270839. The next prime is 9983142270883. The reversal of 9983142270881 is 1880722413899.

It can be written as a sum of positive squares in 16 ways, for example, as 283598851600 + 9699543419281 = 532540^2 + 3114409^2 .

It is not a de Polignac number, because 9983142270881 - 230 = 9982068529057 is a prime.

It is a super-2 number, since 2×99831422708812 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9983142270883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8582525 + ... + 9676053.

It is an arithmetic number, because the mean of its divisors is an integer number (360134968725).

Almost surely, 29983142270881 is an apocalyptic number.

It is an amenable number.

9983142270881 is a deficient number, since it is larger than the sum of its proper divisors (1541176728319).

9983142270881 is a wasteful number, since it uses less digits than its factorization.

9983142270881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094069.

The product of its (nonzero) digits is 13934592, while the sum is 62.

The spelling of 9983142270881 in words is "nine trillion, nine hundred eighty-three billion, one hundred forty-two million, two hundred seventy thousand, eight hundred eighty-one".

Divisors: 1 13 17 101 221 409 1313 1717 5317 6953 22321 41309 90389 537017 702253 1093529 9129289 14215877 18589993 110446429 241669909 447253361 1435803577 1877589293 5814293693 7603307137 24408660809 45172589461 98842992781 587243662993 767934020837 9983142270881