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1100223123120 = 243451141376469
BaseRepresentation
bin10000000000101010011…
…010001000111010110000
310220011212102220121010000
4100000222122020322300
5121011224104414440
62201234023510000
7142326361146162
oct20005232107260
93804772817100
101100223123120
113946692a7770
121592925b8300
137c99b09a3a4
143b372d88932
151d945376730
hex1002a688eb0

1100223123120 has 400 divisors, whose sum is σ = 4270308245280. Its totient is φ = 260214681600.

The previous prime is 1100223123119. The next prime is 1100223123121. The reversal of 1100223123120 is 213213220011.

It is an interprime number because it is at equal distance from previous prime (1100223123119) and next prime (1100223123121).

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 = 1100223123093 and 1100223123102.

It is not an unprimeable number, because it can be changed into a prime (1100223123121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2734246 + ... + 3110714.

Almost surely, 21100223123120 is an apocalyptic number.

1100223123120 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 1100223123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135154122640).

1100223123120 is an abundant number, since it is smaller than the sum of its proper divisors (3170085122160).

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

1100223123120 is a wasteful number, since it uses less digits than its factorization.

1100223123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376546 (or 376531 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1100223123120 its reverse (213213220011), we get a palindrome (1313436343131).

The spelling of 1100223123120 in words is "one trillion, one hundred billion, two hundred twenty-three million, one hundred twenty-three thousand, one hundred twenty".