Search a number
-
+
2201153240000 = 26541113384817
BaseRepresentation
bin100000000001111110111…
…101001111101111000000
321210102120011011012100002
4200001332331033233000
5242030430212140000
64403110145015132
7315012425555561
oct40017675175700
97712504135302
102201153240000
1177955a6902a0
122b67219244a8
1312c74c785280
1478771bac168
153c3cc8028d5
hex2007ef4fbc0

2201153240000 has 280 divisors, whose sum is σ = 6412382418288. Its totient is φ = 738846720000.

The previous prime is 2201153239981. The next prime is 2201153240021. The reversal of 2201153240000 is 423511022.

2201153240000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 5527592 + ... + 5912408.

Almost surely, 22201153240000 is an apocalyptic number.

2201153240000 is a gapful number since it is divisible by the number (20) 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 2201153240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206191209144).

2201153240000 is an abundant number, since it is smaller than the sum of its proper divisors (4211229178288).

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

2201153240000 is a wasteful number, since it uses less digits than its factorization.

2201153240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384873 (or 384848 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 2201153240000 its reverse (423511022), we get a palindrome (2201576751022).

The spelling of 2201153240000 in words is "two trillion, two hundred one billion, one hundred fifty-three million, two hundred forty thousand".