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11331130000311 = 341157112226811
BaseRepresentation
bin1010010011100011101111…
…1110101000001110110111
31111010020121221011120110000
42210320323332220032313
52441122123240002221
640033241012402343
72246434651560252
oct244707376501667
944106557146400
1011331130000311
1136795615351a0
1213300706163b3
136426a0770894
142b2602c30099
15149b36ca1e26
hexa4e3bfa83b7

11331130000311 has 40 divisors (see below), whose sum is σ = 18468786809088. Its totient is φ = 6866145954000.

The previous prime is 11331130000301. The next prime is 11331130000339. The reversal of 11331130000311 is 11300003113311.

11331130000311 is a `hidden beast` number, since 1 + 1 + 331 + 1 + 300 + 0 + 0 + 31 + 1 = 666.

It is not a de Polignac number, because 11331130000311 - 25 = 11331130000279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331130000301) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3975096 + ... + 6201906.

Almost surely, 211331130000311 is an apocalyptic number.

11331130000311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11331130000311 is a deficient number, since it is larger than the sum of its proper divisors (7137656808777).

11331130000311 is a wasteful number, since it uses less digits than its factorization.

11331130000311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232545 (or 2232536 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 11331130000311 its reverse (11300003113311), we get a palindrome (22631133113622).

The spelling of 11331130000311 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty million, three hundred eleven", and thus it is an aban number.

Divisors: 1 3 9 11 27 33 81 99 297 891 5711 17133 51399 62821 154197 188463 462591 565389 1696167 2226811 5088501 6680433 20041299 24494921 60123897 73484763 180371691 220454289 661362867 1984088601 12717317621 38151952863 114455858589 139890493831 343367575767 419671481493 1030102727301 1259014444479 3777043333437 11331130000311