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11331130111014 = 2372127133303157
BaseRepresentation
bin1010010011100011101111…
…1111000011010000100110
31111010020121221101012022010
42210320323333003100212
52441122123302023024
640033241015015050
72246434652531100
oct244707377032046
944106557335263
1011331130111014
11367956160038a
12133007066a486
136426a07ac09c
142b2602c5c570
15149b36cc4b29
hexa4e3bfc3426

11331130111014 has 48 divisors (see below), whose sum is σ = 26362515393648. Its totient is φ = 3237429601728.

The previous prime is 11331130110973. The next prime is 11331130111031. The reversal of 11331130111014 is 41011103113311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 37225524 + ... + 37528680.

It is an arithmetic number, because the mean of its divisors is an integer number (549219070701).

Almost surely, 211331130111014 is an apocalyptic number.

11331130111014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11331130111014 is an abundant number, since it is smaller than the sum of its proper divisors (15031385282634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11331130111014 is a wasteful number, since it uses less digits than its factorization.

11331130111014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430309 (or 430302 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 11331130111014 its reverse (41011103113311), we get a palindrome (52342233224325).

The spelling of 11331130111014 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty million, one hundred eleven thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 127133 254266 303157 381399 606314 762798 889931 909471 1779862 1818942 2122099 2669793 4244198 5339586 6229517 6366297 12459034 12732594 14854693 18688551 29709386 37377102 44564079 89128158 38541258881 77082517762 115623776643 231247553286 269788812167 539577624334 809366436501 1618732873002 1888521685169 3777043370338 5665565055507 11331130111014