Search a number
-
+
201200010112220 = 2257291133469126421
BaseRepresentation
bin101101101111110110000111…
…001000011010110011011100
3222101101112101122100220220112
4231233312013020122303130
5202332430110042042340
61551530001510505152
760244135546055330
oct5557660710326334
9871345348326815
10201200010112220
1159121499486949
121a695ab03651b8
1388361059a7542
1437981bd6217c0
15183da19ac6065
hexb6fd8721acdc

201200010112220 has 192 divisors, whose sum is σ = 504100948780800. Its totient is φ = 65995172167680.

The previous prime is 201200010112207. The next prime is 201200010112229. The reversal of 201200010112220 is 22211010002102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 201200010112195 and 201200010112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201200010112229) 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, 1591444610 + ... + 1591571030.

It is an arithmetic number, because the mean of its divisors is an integer number (2625525774900).

Almost surely, 2201200010112220 is an apocalyptic number.

201200010112220 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 201200010112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252050474390400).

201200010112220 is an abundant number, since it is smaller than the sum of its proper divisors (302900938668580).

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

201200010112220 is a wasteful number, since it uses less digits than its factorization.

201200010112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130048 (or 130046 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201200010112220 its reverse (22211010002102), we get a palindrome (223411020114322).

The spelling of 201200010112220 in words is "two hundred one trillion, two hundred billion, ten million, one hundred twelve thousand, two hundred twenty".