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11334113021 = 7211414011279
BaseRepresentation
bin10101000111001000…
…01101011011111101
31002020220010121010202
422203210031123331
5141203013104041
65112401213245
7550604241200
oct124344153375
932226117122
1011334113021
1148968a1960
122243931225
1310b820a56a
14797403937
1546508aa9b
hex2a390d6fd

11334113021 has 48 divisors (see below), whose sum is σ = 14782279680. Its totient is φ = 8588160000.

The previous prime is 11334113009. The next prime is 11334113033. The reversal of 11334113021 is 12031143311.

It is an interprime number because it is at equal distance from previous prime (11334113009) and next prime (11334113033).

It is not a de Polignac number, because 11334113021 - 214 = 11334096637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11334112984 and 11334113002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11334113051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8861060 + ... + 8862338.

It is an arithmetic number, because the mean of its divisors is an integer number (307964160).

Almost surely, 211334113021 is an apocalyptic number.

11334113021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11334113021 is a deficient number, since it is larger than the sum of its proper divisors (3448166659).

11334113021 is a wasteful number, since it uses less digits than its factorization.

11334113021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 11334113021 its reverse (12031143311), we get a palindrome (23365256332).

The spelling of 11334113021 in words is "eleven billion, three hundred thirty-four million, one hundred thirteen thousand, twenty-one".

Divisors: 1 7 11 41 49 77 287 401 451 539 1279 2009 2807 3157 4411 8953 14069 16441 19649 22099 30877 52439 62671 98483 115087 180851 216139 367073 512879 576829 689381 805609 1265957 2569511 3590153 4037803 5641669 8861699 21028039 25131071 28264621 39491683 147196273 231308429 276441781 1030373911 1619159003 11334113021