Search a number
-
+
2122331010066 = 2325321178713397
BaseRepresentation
bin11110111000100100110…
…010010011010000010010
321111220002220020001010200
4132320210302103100102
5234233013214310231
64302552503040030
7306222224635131
oct36704462232022
97456086201120
102122331010066
11749091587303
122a33a4440016
1312519a660527
1474a15617918
153a31792cbe6
hex1ee24c93412

2122331010066 has 96 divisors (see below), whose sum is σ = 4713683502528. Its totient is φ = 689876853120.

The previous prime is 2122331009993. The next prime is 2122331010067. The reversal of 2122331010066 is 6600101332212.

2122331010066 is a `hidden beast` number, since 21 + 223 + 310 + 100 + 6 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (2122331010067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158411680 + ... + 158425076.

It is an arithmetic number, because the mean of its divisors is an integer number (49100869818).

Almost surely, 22122331010066 is an apocalyptic number.

2122331010066 is an abundant number, since it is smaller than the sum of its proper divisors (2591352492462).

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

2122331010066 is a wasteful number, since it uses less digits than its factorization.

2122331010066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14456 (or 14453 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 2122331010066 its reverse (6600101332212), we get a palindrome (8722432342278).

The spelling of 2122331010066 in words is "two trillion, one hundred twenty-two billion, three hundred thirty-one million, ten thousand, sixty-six".

Divisors: 1 2 3 6 9 18 53 106 159 211 318 422 477 633 787 954 1266 1574 1899 2361 3798 4722 7083 11183 13397 14166 22366 26794 33549 40191 41711 67098 80382 83422 100647 120573 125133 166057 201294 241146 250266 332114 375399 498171 710041 750798 996342 1420082 1494513 2130123 2826767 2989026 4260246 5653534 6390369 8480301 8801021 10543439 12780738 16960602 17602042 21086878 25440903 26403063 31630317 50881806 52806126 63260634 79209189 94890951 149818651 158418378 189781902 299637302 449455953 558802267 898911906 1117604534 1348367859 1676406801 2224665629 2696735718 3352813602 4449331258 5029220403 6673996887 10058440806 13347993774 20021990661 40043981322 117907278337 235814556674 353721835011 707443670022 1061165505033 2122331010066