Search a number
-
+
110012001011000 = 23531128910215619
BaseRepresentation
bin11001000000111000101010…
…001111011100010100111000
3112102112001012111120022021222
4121000320222033130110320
5103404414034224323000
61025550452055051212
732113050640444034
oct3100705217342470
9472461174508258
10110012001011000
1132064911622400
1210409090670b08
1349501196cb1ba
141d24875b431c4
15cab9e80d2a85
hex640e2a3dc538

110012001011000 has 192 divisors, whose sum is σ = 286137473076000. Its totient is φ = 39554872896000.

The previous prime is 110012001010987. The next prime is 110012001011027. The reversal of 110012001011000 is 110100210011.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5661191 + ... + 15876809.

Almost surely, 2110012001011000 is an apocalyptic number.

110012001011000 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 110012001011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143068736538000).

110012001011000 is an abundant number, since it is smaller than the sum of its proper divisors (176125472065000).

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

110012001011000 is a wasteful number, since it uses less digits than its factorization.

110012001011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10215751 (or 10215726 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 110012001011000 its reverse (110100210011), we get a palindrome (110122101221011).

The spelling of 110012001011000 in words is "one hundred ten trillion, twelve billion, one million, eleven thousand".