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BaseRepresentation
bin10000001001110001010…
…010000110010010010000
310221010002221211201120020
4100021301102012102100
5121141241021211422
62205532233543440
7143123613306366
oct20116122062220
93833087751506
101110002132112
113988272a1985
1215b161574b80
1380899061043
143ba1da23636
151dd18b3095c
hex10271486490

1110002132112 has 160 divisors (see below), whose sum is σ = 3070661798400. Its totient is φ = 344504918016.

The previous prime is 1110002131993. The next prime is 1110002132119. The reversal of 1110002132112 is 2112312000111.

Adding to 1110002132112 its reverse (2112312000111), we get a palindrome (3222314132223).

It is a junction number, because it is equal to n+sod(n) for n = 1110002132091 and 1110002132100.

It is not an unprimeable number, because it can be changed into a prime (1110002132119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14571339 + ... + 14647317.

It is an arithmetic number, because the mean of its divisors is an integer number (19191636240).

Almost surely, 21110002132112 is an apocalyptic number.

1110002132112 is a gapful number since it is divisible by the number (12) 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 1110002132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535330899200).

1110002132112 is an abundant number, since it is smaller than the sum of its proper divisors (1960659666288).

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

1110002132112 is a wasteful number, since it uses less digits than its factorization.

1110002132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76285 (or 76279 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The spelling of 1110002132112 in words is "one trillion, one hundred ten billion, two million, one hundred thirty-two thousand, one hundred twelve".