Search a number
-
+
201102220210122 = 2327117971493121937
BaseRepresentation
bin101101101110011011000010…
…011001100010111111001010
3222101001011222111102012000200
4231232123002121202333022
5202324324321333210442
61551413030133513030
760234104326444050
oct5556330231427712
9871034874365020
10201102220210122
1159093a77648040
121a67ab5a7a2776
138829b2002374a
143793583d0a1d0
15183b1e490034c
hexb6e6c2662fca

201102220210122 has 192 divisors, whose sum is σ = 544287545028864. Its totient is φ = 52133434398720.

The previous prime is 201102220210121. The next prime is 201102220210153. The reversal of 201102220210122 is 221012022201102.

It is a happy number.

201102220210122 is a `hidden beast` number, since 2 + 0 + 110 + 2 + 220 + 210 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 201102220210095 and 201102220210104.

It is not an unprimeable number, because it can be changed into a prime (201102220210121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1649169538 + ... + 1649291474.

It is an arithmetic number, because the mean of its divisors is an integer number (2834830963692).

Almost surely, 2201102220210122 is an apocalyptic number.

201102220210122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201102220210122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272143772514432).

201102220210122 is an abundant number, since it is smaller than the sum of its proper divisors (343185324818742).

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

201102220210122 is a wasteful number, since it uses less digits than its factorization.

201102220210122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124253 (or 124250 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201102220210122 its reverse (221012022201102), we get a palindrome (422114242411224).

The spelling of 201102220210122 in words is "two hundred one trillion, one hundred two billion, two hundred twenty million, two hundred ten thousand, one hundred twenty-two".