Search a number
-
+
120110200021000 = 23537110338634027
BaseRepresentation
bin11011010011110101010101…
…110011100110000000001000
3120202021102102100120010112201
4123103311111303212000020
5111220341142201133000
61103241510353445544
734204450504000210
oct3323652563460010
9522242370503481
10120110200021000
11352a84a4711032
121157a1b2b708b4
1352034601ba5a7
142193516a3d240
15dd451e0ad96a
hex6d3d55ce6008

120110200021000 has 256 divisors, whose sum is σ = 321663288360960. Its totient is φ = 41122440057600.

The previous prime is 120110200020997. The next prime is 120110200021001. The reversal of 120110200021000 is 120002011021.

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

It is not an unprimeable number, because it can be changed into a prime (120110200021001) 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, 29826220987 + ... + 29826225013.

It is an arithmetic number, because the mean of its divisors is an integer number (1256497220160).

Almost surely, 2120110200021000 is an apocalyptic number.

120110200021000 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 120110200021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160831644180480).

120110200021000 is an abundant number, since it is smaller than the sum of its proper divisors (201553088339960).

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

120110200021000 is a wasteful number, since it uses less digits than its factorization.

120110200021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9021 (or 9007 counting only the distinct ones).

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

Adding to 120110200021000 its reverse (120002011021), we get a palindrome (120230202032021).

The spelling of 120110200021000 in words is "one hundred twenty trillion, one hundred ten billion, two hundred million, twenty-one thousand".