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2031233324241 = 3114147127251513
BaseRepresentation
bin11101100011101110111…
…100001101010011010001
321012011222010212010010210
4131203232330031103101
5231234431212333431
64153045151314333
7266515566244302
oct35435674152321
97164863763123
102031233324241
11713494291650
122897bbb1b9a9
131197102baa14
1470452a207a9
1537c85025d46
hex1d8eef0d4d1

2031233324241 has 64 divisors (see below), whose sum is σ = 3115328864256. Its totient is φ = 1166210841600.

The previous prime is 2031233324221. The next prime is 2031233324287. The reversal of 2031233324241 is 1424233321302.

It is a happy number.

It is not a de Polignac number, because 2031233324241 - 230 = 2030159582417 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2031233324199 and 2031233324208.

It is not an unprimeable number, because it can be changed into a prime (2031233324221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7950301 + ... + 8201813.

It is an arithmetic number, because the mean of its divisors is an integer number (48677013504).

Almost surely, 22031233324241 is an apocalyptic number.

It is an amenable number.

2031233324241 is a deficient number, since it is larger than the sum of its proper divisors (1084095540015).

2031233324241 is a wasteful number, since it uses less digits than its factorization.

2031233324241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251742.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 2031233324241 its reverse (1424233321302), we get a palindrome (3455466645543).

The spelling of 2031233324241 in words is "two trillion, thirty-one billion, two hundred thirty-three million, three hundred twenty-four thousand, two hundred forty-one".

Divisors: 1 3 11 33 41 47 123 127 141 381 451 517 1353 1397 1551 1927 4191 5207 5781 5969 15621 17907 21197 57277 63591 65659 171831 196977 244729 251513 734187 754539 2692019 2766643 8076057 8299929 10312033 11821111 30936099 31942151 35463333 95826453 113432363 130032221 340297089 351363661 390096663 484665551 1054090983 1309628191 1453996653 1501281097 3928884573 4503843291 5331321061 14405910101 15993963183 16514092067 43217730303 49542276201 61552524977 184657574931 677077774747 2031233324241