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1103011332120 = 2333523331134153
BaseRepresentation
bin10000000011010000100…
…110010100000000011000
310220110001202102021211000
4100003100212110000120
5121032431400111440
62202414424505000
7142455435425325
oct20032046240030
93813052367730
101103011332120
1139586a161425
1215993031b160
13800239297b9
143b5593bdb4c
151da5a032730
hex100d0994018

1103011332120 has 256 divisors, whose sum is σ = 3848180659200. Its totient is φ = 280495733760.

The previous prime is 1103011332091. The next prime is 1103011332139. The reversal of 1103011332120 is 212331103011.

1103011332120 is a `hidden beast` number, since 1 + 10 + 301 + 1 + 332 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1103011332093 and 1103011332102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8154964 + ... + 8289116.

It is an arithmetic number, because the mean of its divisors is an integer number (15031955700).

Almost surely, 21103011332120 is an apocalyptic number.

1103011332120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103011332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924090329600).

1103011332120 is an abundant number, since it is smaller than the sum of its proper divisors (2745169327080).

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

1103011332120 is a wasteful number, since it uses less digits than its factorization.

1103011332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134527 (or 134517 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1103011332120 its reverse (212331103011), we get a palindrome (1315342435131).

The spelling of 1103011332120 in words is "one trillion, one hundred three billion, eleven million, three hundred thirty-two thousand, one hundred twenty".