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2242132101 = 3211435979113
BaseRepresentation
bin1000010110100100…
…0011100010000101
312210020222010000200
42011221003202011
514042441211401
61010252401113
7106363544166
oct20551034205
95706863020
102242132101
11a50697040
12526a76199
132996937b1
14173ac776d
15d1c90686
hex85a43885

2242132101 has 96 divisors (see below), whose sum is σ = 3755980800. Its totient is φ = 1276853760.

The previous prime is 2242132063. The next prime is 2242132127. The reversal of 2242132101 is 1012312422.

It is a happy number.

It is not a de Polignac number, because 2242132101 - 210 = 2242131077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242132141) 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, 19841821 + ... + 19841933.

It is an arithmetic number, because the mean of its divisors is an integer number (39124800).

Almost surely, 22242132101 is an apocalyptic number.

It is an amenable number.

2242132101 is a deficient number, since it is larger than the sum of its proper divisors (1513848699).

2242132101 is a wasteful number, since it uses less digits than its factorization.

2242132101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2242132101 is about 47351.1573353809. The cubic root of 2242132101 is about 1308.8415259893.

Adding to 2242132101 its reverse (1012312422), we get a palindrome (3254444523).

The spelling of 2242132101 in words is "two billion, two hundred forty-two million, one hundred thirty-two thousand, one hundred one".

Divisors: 1 3 9 11 33 43 59 79 99 113 129 177 237 339 387 473 531 649 711 869 1017 1243 1419 1947 2537 2607 3397 3729 4257 4661 4859 5841 6667 7611 7821 8927 10191 11187 13983 14577 20001 22833 26781 27907 30573 37367 41949 43731 51271 53449 60003 73337 80343 83721 98197 112101 153813 160347 200423 220011 251163 286681 294591 336303 383861 461439 481041 526693 601269 660033 860043 883773 1151583 1580079 1803807 2204653 2580129 3153491 3454749 4222471 4740237 5793623 6613959 9460473 12667413 17380869 19841877 22647799 28381419 38002239 52142607 67943397 203830191 249125789 747377367 2242132101