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2133311334 = 2372111738803
BaseRepresentation
bin111111100100111…
…1011111101100110
312111200012102222220
41333021323331212
513332111430314
6551404133210
7103602563400
oct17711737546
95450172886
102133311334
119a5220420
124b6537206
1327cc820cb
1416347bb70
15c74473a9
hex7f27bf66

2133311334 has 96 divisors (see below), whose sum is σ = 5733058176. Its totient is φ = 521498880.

The previous prime is 2133311309. The next prime is 2133311363. The reversal of 2133311334 is 4331133312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35577 + ... + 74379.

It is an arithmetic number, because the mean of its divisors is an integer number (59719356).

Almost surely, 22133311334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133311334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866529088).

2133311334 is an abundant number, since it is smaller than the sum of its proper divisors (3599746842).

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

2133311334 is a wasteful number, since it uses less digits than its factorization.

2133311334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38850 (or 38843 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

The square root of 2133311334 is about 46187.7833847869. The cubic root of 2133311334 is about 1287.3147544334.

Adding to 2133311334 its reverse (4331133312), we get a palindrome (6464444646).

The spelling of 2133311334 in words is "two billion, one hundred thirty-three million, three hundred eleven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 49 51 66 77 98 102 119 147 154 187 231 238 294 357 374 462 539 561 714 833 1078 1122 1309 1617 1666 2499 2618 3234 3927 4998 7854 9163 18326 27489 38803 54978 77606 116409 232818 271621 426833 543242 659651 814863 853666 1280499 1319302 1629726 1901347 1978953 2560998 2987831 3802694 3957906 4617557 5704041 5975662 7256161 8963493 9235114 11408082 13852671 14512322 17926986 20914817 21768483 27705342 32322899 41829634 43536966 50793127 62744451 64645798 96968697 101586254 125488902 152379381 193937394 304758762 355551889 711103778 1066655667 2133311334