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1110002233120 = 2551161101102367
BaseRepresentation
bin10000001001110001010…
…010011110111100100000
310221010002222000212010021
4100021301102132330200
5121141241032424440
62205532240043224
7143123614210024
oct20116122367440
93833088025107
101110002233120
11398827360860
1215b161603514
1380899098001
143ba1da4c384
151dd18b5084a
hex1027149ef20

1110002233120 has 192 divisors, whose sum is σ = 2936494052352. Its totient is φ = 393085440000.

The previous prime is 1110002233079. The next prime is 1110002233129. The reversal of 1110002233120 is 213322000111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1110002233094 and 1110002233103.

It is not an unprimeable number, because it can be changed into a prime (1110002233129) 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 31 ways as a sum of consecutive naturals, for example, 10792177 + ... + 10894543.

It is an arithmetic number, because the mean of its divisors is an integer number (15294239856).

Almost surely, 21110002233120 is an apocalyptic number.

1110002233120 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 1110002233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468247026176).

1110002233120 is an abundant number, since it is smaller than the sum of its proper divisors (1826491819232).

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

1110002233120 is a wasteful number, since it uses less digits than its factorization.

1110002233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102555 (or 102547 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1110002233120 its reverse (213322000111), we get a palindrome (1323324233231).

The spelling of 1110002233120 in words is "one trillion, one hundred ten billion, two million, two hundred thirty-three thousand, one hundred twenty".