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11340122100 = 22352127297641
BaseRepresentation
bin10101000111110110…
…01000011111110100
31002021022102220001020
422203323020133310
5141211032401400
65113134101140
7551006306316
oct124373103764
932238386036
1011340122100
11489a22663a
12224594a7b0
1310b9532728
147981297b6
154658762a0
hex2a3ec87f4

11340122100 has 72 divisors (see below), whose sum is σ = 33069216768. Its totient is φ = 3000211200.

The previous prime is 11340122093. The next prime is 11340122107. The reversal of 11340122100 is 122104311.

It is an interprime number because it is at equal distance from previous prime (11340122093) and next prime (11340122107).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11340122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11340122107) 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 23 ways as a sum of consecutive naturals, for example, 110721 + ... + 186920.

Almost surely, 211340122100 is an apocalyptic number.

11340122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11340122100 is an abundant number, since it is smaller than the sum of its proper divisors (21729094668).

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

11340122100 is a wasteful number, since it uses less digits than its factorization.

11340122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297785 (or 297778 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11340122100 its reverse (122104311), we get a palindrome (11462226411).

The spelling of 11340122100 in words is "eleven billion, three hundred forty million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 127 150 254 300 381 508 635 762 1270 1524 1905 2540 3175 3810 6350 7620 9525 12700 19050 38100 297641 595282 892923 1190564 1488205 1785846 2976410 3571692 4464615 5952820 7441025 8929230 14882050 17858460 22323075 29764100 37800407 44646150 75600814 89292300 113401221 151201628 189002035 226802442 378004070 453604884 567006105 756008140 945010175 1134012210 1890020350 2268024420 2835030525 3780040700 5670061050 11340122100