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2252011144141 = 1117791018771721
BaseRepresentation
bin100000110001010110010…
…100110000001111001101
321222021211112021102012101
4200301112110300033031
5243344104323103031
64442320514235101
7321462635612563
oct40612624601715
97867745242171
102252011144141
11799088643430
12304555b85a91
1313449619cb85
147add841ba33
153d8a765b361
hex20c565303cd

2252011144141 has 64 divisors (see below), whose sum is σ = 2664842664960. Its totient is φ = 1880386560000.

The previous prime is 2252011144067. The next prime is 2252011144177. The reversal of 2252011144141 is 1414411102522.

It is a cyclic number.

It is not a de Polignac number, because 2252011144141 - 231 = 2249863660493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252011144181) 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, 1308547161 + ... + 1308548881.

It is an arithmetic number, because the mean of its divisors is an integer number (41638166640).

Almost surely, 22252011144141 is an apocalyptic number.

It is an amenable number.

2252011144141 is a deficient number, since it is larger than the sum of its proper divisors (412831520819).

2252011144141 is a wasteful number, since it uses less digits than its factorization.

2252011144141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806.

The product of its (nonzero) digits is 2560, while the sum is 28.

Adding to 2252011144141 its reverse (1414411102522), we get a palindrome (3666422246663).

The spelling of 2252011144141 in words is "two trillion, two hundred fifty-two billion, eleven million, one hundred forty-four thousand, one hundred forty-one".

Divisors: 1 11 17 79 101 187 869 877 1111 1343 1717 1721 7979 9647 14773 14909 18887 18931 29257 69283 87769 88577 135643 135959 163999 173821 321827 762113 974347 1177811 1492073 1495549 1505809 1509317 1912031 2311303 2954957 6997583 12955921 13731859 16563899 16602487 25424333 25658389 32504527 76973413 118958911 119236043 151050449 152441017 233441603 282242279 1308548021 1311596473 1676851187 2027012731 2567857633 2591497289 12042840343 22297140041 28506470179 132471243773 204728285831 2252011144141