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1083963613271 = 711149163579629
BaseRepresentation
bin11111100011000010100…
…01000010000001010111
310211121220021202220201112
433301201101002001113
5120224424141111041
62145544354045235
7141212425455320
oct17614121020127
93747807686645
101083963613271
11388785223320
121560b527981b
137b2a9622046
143a66d783447
151d2e2bbddeb
hexfc61442057

1083963613271 has 32 divisors (see below), whose sum is σ = 1368854208000. Its totient is φ = 833829655680.

The previous prime is 1083963613259. The next prime is 1083963613307. The reversal of 1083963613271 is 1723163693801.

It is a de Polignac number, because none of the positive numbers 2k-1083963613271 is a prime.

It is a super-2 number, since 2×10839636132712 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083963613571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1580285 + ... + 2159913.

It is an arithmetic number, because the mean of its divisors is an integer number (42776694000).

Almost surely, 21083963613271 is an apocalyptic number.

1083963613271 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1083963613271 is a deficient number, since it is larger than the sum of its proper divisors (284890594729).

1083963613271 is a wasteful number, since it uses less digits than its factorization.

1083963613271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579959.

The product of its (nonzero) digits is 979776, while the sum is 50.

The spelling of 1083963613271 in words is "one trillion, eighty-three billion, nine hundred sixty-three million, six hundred thirteen thousand, two hundred seventy-one".

Divisors: 1 7 11 77 149 163 1043 1141 1639 1793 11473 12551 24287 170009 267157 579629 1870099 4057403 6375919 44631433 86364721 94479527 604553047 661356689 950011931 1039274797 6650083517 7274923579 14077449523 98542146661 154851944753 1083963613271