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11331122121300 = 2235237770407071
BaseRepresentation
bin1010010011100011101110…
…0000100100101001010100
31111010020121101100021110210
42210320323200210221110
52441122114230340200
640033240131445420
72246434524603342
oct244707340445124
944106541307423
1011331122121300
113679558043613
121330069a56870
1364269bc42547
142b2601b7c992
15149b36247650
hexa4e3b824a54

11331122121300 has 36 divisors (see below), whose sum is σ = 32784713338496. Its totient is φ = 3021632565600.

The previous prime is 11331122121283. The next prime is 11331122121301. The reversal of 11331122121300 is 312122113311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331122121301) 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 11 ways as a sum of consecutive naturals, for example, 18885203236 + ... + 18885203835.

Almost surely, 211331122121300 is an apocalyptic number.

11331122121300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331122121300 is an abundant number, since it is smaller than the sum of its proper divisors (21453591217196).

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

11331122121300 is a wasteful number, since it uses less digits than its factorization.

11331122121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37770407088 (or 37770407081 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 11331122121300 its reverse (312122113311), we get a palindrome (11643244234611).

The spelling of 11331122121300 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-two million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 37770407071 75540814142 113311221213 151081628284 188852035355 226622442426 377704070710 453244884852 566556106065 755408141420 944260176775 1133112212130 1888520353550 2266224424260 2832780530325 3777040707100 5665561060650 11331122121300