Search a number
-
+
1110212000000 = 2856433641
BaseRepresentation
bin10000001001111101110…
…010101011100100000000
310221010122120202010011222
4100021331302223210000
5121142203233000000
62210005132054212
7143132042203205
oct20117562534400
93833576663158
101110212000000
11398924804814
1215b1bb904368
1380900691a1c
143ba3d853cac
151dd2c288a85
hex1027dcab900

1110212000000 has 252 divisors, whose sum is σ = 2780802452148. Its totient is φ = 442368000000.

The previous prime is 1110211999999. The next prime is 1110212000017. The reversal of 1110212000000 is 2120111.

It can be written as a sum of positive squares in 14 ways, for example, as 930869913856 + 179342086144 = 964816^2 + 423488^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 1731999680 + ... + 1732000320.

Almost surely, 21110212000000 is an apocalyptic number.

1110212000000 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 1110212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390401226074).

1110212000000 is an abundant number, since it is smaller than the sum of its proper divisors (1670590452148).

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

1110212000000 is an frugal number, since it uses more digits than its factorization.

1110212000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1110212000000 its reverse (2120111), we get a palindrome (1110214120111).

The spelling of 1110212000000 in words is "one trillion, one hundred ten billion, two hundred twelve million", and thus it is an aban number.