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1133103223120 = 245111287617299
BaseRepresentation
bin10000011111010010001…
…101110001000101010000
311000022201220121201221111
4100133102031301011100
5122031043411114440
62224312422303104
7144602232324061
oct20372215610520
94008656551844
101133103223120
113a7601258530
12163729b87a94
1382b0b05646b
143cbb1b08568
151e71bc5d4ea
hex107d2371150

1133103223120 has 40 divisors (see below), whose sum is σ = 2873961813600. Its totient is φ = 412037535360.

The previous prime is 1133103223103. The next prime is 1133103223123. The reversal of 1133103223120 is 213223013311.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1133103223091 and 1133103223100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133103223123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 643807770 + ... + 643809529.

It is an arithmetic number, because the mean of its divisors is an integer number (71849045340).

Almost surely, 21133103223120 is an apocalyptic number.

1133103223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1133103223120 is an abundant number, since it is smaller than the sum of its proper divisors (1740858590480).

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

1133103223120 is a wasteful number, since it uses less digits than its factorization.

1133103223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287617323 (or 1287617317 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1133103223120 its reverse (213223013311), we get a palindrome (1346326236431).

The spelling of 1133103223120 in words is "one trillion, one hundred thirty-three billion, one hundred three million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1287617299 2575234598 5150469196 6438086495 10300938392 12876172990 14163790289 20601876784 25752345980 28327580578 51504691960 56655161156 70818951445 103009383920 113310322312 141637902890 226620644624 283275805780 566551611560 1133103223120