Search a number
-
+
201111200221104 = 24334753832251649
BaseRepresentation
bin101101101110100011011001…
…101001100100011110110000
3222101002001011022220000021000
4231232203121221210132300
5202330001214224033404
61551421113202402000
760234543010333065
oct5556433151443660
9871061138800230
10201111200221104
1159097865626218
121a680846060300
13882a9215c5604
143793b967dac6c
15183b56ce7e339
hexb6e8d9a647b0

201111200221104 has 320 divisors, whose sum is σ = 607906591488000. Its totient is φ = 63597203324928.

The previous prime is 201111200221067. The next prime is 201111200221117. The reversal of 201111200221104 is 401122002111102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88191472 + ... + 90443120.

It is an arithmetic number, because the mean of its divisors is an integer number (1899708098400).

Almost surely, 2201111200221104 is an apocalyptic number.

201111200221104 is a gapful number since it is divisible by the number (24) 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 201111200221104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303953295744000).

201111200221104 is an abundant number, since it is smaller than the sum of its proper divisors (406795391266896).

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

201111200221104 is a wasteful number, since it uses less digits than its factorization.

201111200221104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251849 (or 2251837 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201111200221104 its reverse (401122002111102), we get a palindrome (602233202332206).

The spelling of 201111200221104 in words is "two hundred one trillion, one hundred eleven billion, two hundred million, two hundred twenty-one thousand, one hundred four".