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253122242133 = 32953611635521
BaseRepresentation
bin1110101110111101000…
…0101110011001010101
3220012100112011012010210
43223233100232121111
513121343243222013
6312141024040033
724200414362335
oct3535720563125
9805315135123
10253122242133
11983919a7a52
1241082163019
131ab3bba3a47
14c3733590c5
1568b6ea7cc3
hex3aef42e655

253122242133 has 64 divisors (see below), whose sum is σ = 363837070080. Its totient is φ = 156241612800.

The previous prime is 253122242119. The next prime is 253122242161. The reversal of 253122242133 is 331242221352.

It is not a de Polignac number, because 253122242133 - 210 = 253122241109 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 253122242133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253122242173) 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, 45844413 + ... + 45849933.

It is an arithmetic number, because the mean of its divisors is an integer number (5684954220).

Almost surely, 2253122242133 is an apocalyptic number.

It is an amenable number.

253122242133 is a deficient number, since it is larger than the sum of its proper divisors (110714827947).

253122242133 is a wasteful number, since it uses less digits than its factorization.

253122242133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5830.

The product of its digits is 17280, while the sum is 30.

Adding to 253122242133 its reverse (331242221352), we get a palindrome (584364463485).

The spelling of 253122242133 in words is "two hundred fifty-three billion, one hundred twenty-two million, two hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 3 29 53 61 87 159 163 183 489 1537 1769 3233 4611 4727 5307 5521 8639 9699 9943 14181 16563 25917 29829 93757 160109 250531 281271 288347 292613 336781 480327 526979 751593 865041 877839 899923 1010343 1580937 2699769 8485777 9766649 15282391 17849393 25457331 26097767 29299947 45847173 47695919 53548179 54895303 78293301 143087757 164685909 517632397 1383181651 1552897191 1591963787 2909451059 4149544953 4775891361 8728353177 84374080711 253122242133