Search a number
-
+
210221102120022 = 23373591427134807
BaseRepresentation
bin101111110011000111101010…
…000111011011110001010110
31000120022221102001111202121000
4233303013222013123301112
5210023230304120320042
62023034124024204130
762164654611666000
oct5763075207336126
91016287361452530
10210221102120022
1160a8a2a576a684
121b6b2311909646
13903b9c3554b06
1439caa8164b370
1519484eed2674c
hexbf31ea1dbc56

210221102120022 has 256 divisors, whose sum is σ = 554416773120000. Its totient is φ = 59003337357216.

The previous prime is 210221102120011. The next prime is 210221102120033. The reversal of 210221102120022 is 220021201122012.

It is a happy number.

210221102120022 is a `hidden beast` number, since 210 + 2 + 211 + 0 + 21 + 200 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (210221102120011) and next prime (210221102120033).

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 = 210221102119977 and 210221102120004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1559355343 + ... + 1559490149.

It is an arithmetic number, because the mean of its divisors is an integer number (2165690520000).

Almost surely, 2210221102120022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210221102120022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277208386560000).

210221102120022 is an abundant number, since it is smaller than the sum of its proper divisors (344195670999978).

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

210221102120022 is a wasteful number, since it uses less digits than its factorization.

210221102120022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136325 (or 136305 counting only the distinct ones).

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

Adding to 210221102120022 its reverse (220021201122012), we get a palindrome (430242303242034).

The spelling of 210221102120022 in words is "two hundred ten trillion, two hundred twenty-one billion, one hundred two million, one hundred twenty thousand, twenty-two".