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10630711311 = 311674808101
BaseRepresentation
bin10011110011010001…
…11100100000001111
31000102212120002101120
421321220330200033
5133232430230221
64514513012023
7524303361303
oct117150744017
930385502346
1010630711311
114565839830
122088254013
131005579a2c
1472bc21d03
154234455c6
hex279a3c80f

10630711311 has 16 divisors (see below), whose sum is σ = 15693644928. Its totient is φ = 6346692000.

The previous prime is 10630711271. The next prime is 10630711349. The reversal of 10630711311 is 11311703601.

10630711311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10630711311 - 27 = 10630711183 is a prime.

It is a super-2 number, since 2×106307113112 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10630711361) 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 15 ways as a sum of consecutive naturals, for example, 2401840 + ... + 2406261.

It is an arithmetic number, because the mean of its divisors is an integer number (980852808).

Almost surely, 210630711311 is an apocalyptic number.

10630711311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10630711311 is a deficient number, since it is larger than the sum of its proper divisors (5062933617).

10630711311 is a wasteful number, since it uses less digits than its factorization.

10630711311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4808182.

The product of its (nonzero) digits is 378, while the sum is 24.

The spelling of 10630711311 in words is "ten billion, six hundred thirty million, seven hundred eleven thousand, three hundred eleven".

Divisors: 1 3 11 33 67 201 737 2211 4808101 14424303 52889111 158667333 322142767 966428301 3543570437 10630711311