Search a number
-
+
1112220002112 = 263191372698273
BaseRepresentation
bin10000001011110101011…
…110100110011101000000
310221022211112011012020120
4100023311132212131000
5121210311310031422
62210540302340240
7143232564013602
oct20136536463500
93838745135216
101112220002112
1139976521749a
1215b68028a680
1380b606ab45b
143bb903d3172
151dde86cc45c
hex102f57a6740

1112220002112 has 224 divisors, whose sum is σ = 3132218678400. Its totient is φ = 347325530112.

The previous prime is 1112220002099. The next prime is 1112220002141. The reversal of 1112220002112 is 2112000222111.

It is a junction number, because it is equal to n+sod(n) for n = 1112220002091 and 1112220002100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134435608 + ... + 134443880.

It is an arithmetic number, because the mean of its divisors is an integer number (13983119100).

Almost surely, 21112220002112 is an apocalyptic number.

1112220002112 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 1112220002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566109339200).

1112220002112 is an abundant number, since it is smaller than the sum of its proper divisors (2019998676288).

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

1112220002112 is a wasteful number, since it uses less digits than its factorization.

1112220002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8713 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1112220002112 its reverse (2112000222111), we get a palindrome (3224220224223).

The spelling of 1112220002112 in words is "one trillion, one hundred twelve billion, two hundred twenty million, two thousand, one hundred twelve".