Search a number
-
+
110120200102000 = 24531161142757503
BaseRepresentation
bin11001000010011101011011…
…011010001110000001110000
3112102220101111002020121221201
4121002131123122032001300
5103413202132211231000
61030112304353100544
732123631133522654
oct3102353332160160
9472811432217851
10110120200102000
11320a6795147970
1210426048257754
13495a3a0a7a37a
141d29bbba94a64
15cae72c04296a
hex64275b68e070

110120200102000 has 320 divisors, whose sum is σ = 295451017924608. Its totient is φ = 39358968960000.

The previous prime is 110120200101979. The next prime is 110120200102009. The reversal of 110120200102000 is 201002021011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110120200102009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1915005249 + ... + 1915062751.

Almost surely, 2110120200102000 is an apocalyptic number.

110120200102000 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 110120200102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147725508962304).

110120200102000 is an abundant number, since it is smaller than the sum of its proper divisors (185330817822608).

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

110120200102000 is a wasteful number, since it uses less digits than its factorization.

110120200102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59025 (or 59009 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 110120200102000 its reverse (201002021011), we get a palindrome (110321202123011).

The spelling of 110120200102000 in words is "one hundred ten trillion, one hundred twenty billion, two hundred million, one hundred two thousand".