Search a number
-
+
1120210331219 = 73731132831399
BaseRepresentation
bin10000010011010001101…
…111010010011001010011
310222002110101100222011122
4100103101233102121103
5121323142321044334
62214341215032455
7143634566465000
oct20232157223123
93862411328148
101120210331219
113a2095589a71
1216113020b72b
1381834c16745
143c30b6a08a7
151e214e1732e
hex104d1bd2653

1120210331219 has 64 divisors (see below), whose sum is σ = 1341661440000. Its totient is φ = 934661016576.

The previous prime is 1120210331179. The next prime is 1120210331221. The reversal of 1120210331219 is 9121330120211.

It is a de Polignac number, because none of the positive numbers 2k-1120210331219 is a prime.

It is a super-2 number, since 2×11202103312192 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1120210361219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 800721482 + ... + 800722880.

It is an arithmetic number, because the mean of its divisors is an integer number (20963460000).

Almost surely, 21120210331219 is an apocalyptic number.

1120210331219 is a deficient number, since it is larger than the sum of its proper divisors (221451108781).

1120210331219 is a wasteful number, since it uses less digits than its factorization.

1120210331219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 1120210331219 in words is "one trillion, one hundred twenty billion, two hundred ten million, three hundred thirty-one thousand, two hundred nineteen".

Divisors: 1 7 49 73 113 283 343 511 791 1399 1981 3577 5537 8249 9793 13867 20659 25039 31979 38759 57743 68551 97069 102127 144613 158087 223853 395917 404201 479857 714889 1012291 1106609 1566971 2334467 2771419 2829407 5004223 7086037 7746263 10968797 11540351 16341269 19399933 28901941 35029561 44738621 54223841 80782457 114388883 135799531 202313587 313170347 565477199 800722181 1416195109 2192192429 3265919333 3958340393 9913365763 15345347003 22861435331 160030047317 1120210331219