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11340311133141 = 3243971254724077
BaseRepresentation
bin1010010100000101111100…
…1101110111101111010101
31111011010022210002102222200
42211001133031313233111
52441244424122230031
640041400024115113
72250211324115334
oct245013715675725
944133283072880
1011340311133141
113682442aa2181
1213319b3305a99
13643504900563
142b2c34315d1b
15149ec2d0c8e6
hexa505f377bd5

11340311133141 has 48 divisors (see below), whose sum is σ = 16936240985664. Its totient is φ = 7307374943232.

The previous prime is 11340311133103. The next prime is 11340311133169. The reversal of 11340311133141 is 14133111304311.

11340311133141 is a `hidden beast` number, since 1 + 1 + 3 + 403 + 1 + 113 + 3 + 141 = 666.

It is not a de Polignac number, because 11340311133141 - 29 = 11340311132629 is a prime.

It is a super-2 number, since 2×113403111331412 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11340311133941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 470989795 + ... + 471013871.

It is an arithmetic number, because the mean of its divisors is an integer number (352838353868).

Almost surely, 211340311133141 is an apocalyptic number.

It is an amenable number.

11340311133141 is a deficient number, since it is larger than the sum of its proper divisors (5595929852523).

11340311133141 is a wasteful number, since it uses less digits than its factorization.

11340311133141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36770 (or 36767 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 11340311133141 its reverse (14133111304311), we get a palindrome (25473422437452).

The spelling of 11340311133141 in words is "eleven trillion, three hundred forty billion, three hundred eleven million, one hundred thirty-three thousand, one hundred forty-one".

Divisors: 1 3 9 43 97 129 291 387 873 4171 12513 12547 24077 37539 37641 72231 112923 216693 539521 1035311 1217059 1618563 2335469 3105933 3651177 4855689 7006407 9317799 10953531 21019221 52333537 100425167 157000611 301275501 302094119 471001833 903826503 906282357 2718847071 12990047117 29303129543 38970141351 87909388629 116910424053 263728165887 1260034570349 3780103711047 11340311133141