Search a number
-
+
1201020110000 = 2454257557839
BaseRepresentation
bin10001011110100010011…
…000001000010010110000
311020211001011020001211022
4101132202120020102300
5124134142122010000
62315424021035012
7152525253331454
oct21364230102260
94224034201738
101201020110000
114233935a5907
12174923255a68
1389342a463a9
14421b5bcc664
1521394540585
hex117a26084b0

1201020110000 has 200 divisors, whose sum is σ = 2927830419360. Its totient is φ = 477110272000.

The previous prime is 1201020109943. The next prime is 1201020110021. The reversal of 1201020110000 is 110201021.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1201020110000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1431489581 + ... + 1431490419.

Almost surely, 21201020110000 is an apocalyptic number.

1201020110000 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 1201020110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463915209680).

1201020110000 is an abundant number, since it is smaller than the sum of its proper divisors (1726810309360).

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

1201020110000 is an equidigital number, since it uses as much as digits as its factorization.

1201020110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1660 counting only the distinct ones).

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

Adding to 1201020110000 its reverse (110201021), we get a palindrome (1201130311021).

The spelling of 1201020110000 in words is "one trillion, two hundred one billion, twenty million, one hundred ten thousand".