Search a number
-
+
2033114013 = 347311031123
BaseRepresentation
bin111100100101110…
…1101101110011101
312020200122220010000
41321023231232131
513130434122023
6533424404513
7101245120050
oct17113555635
95220586100
102033114013
11953704717
12488a76739
1326529c858
14154038a97
15bd754243
hex792edb9d

2033114013 has 80 divisors (see below), whose sum is σ = 3620970496. Its totient is φ = 1112395680.

The previous prime is 2033114011. The next prime is 2033114029. The reversal of 2033114013 is 3104113302.

It is not a de Polignac number, because 2033114013 - 21 = 2033114011 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033114011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1809870 + ... + 1810992.

Almost surely, 22033114013 is an apocalyptic number.

It is an amenable number.

2033114013 is a deficient number, since it is larger than the sum of its proper divisors (1587856483).

2033114013 is a wasteful number, since it uses less digits than its factorization.

2033114013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2033114013 is about 45090.0655688146. The cubic root of 2033114013 is about 1266.8365296284.

Adding to 2033114013 its reverse (3104113302), we get a palindrome (5137227315).

The spelling of 2033114013 in words is "two billion, thirty-three million, one hundred fourteen thousand, thirteen".

Divisors: 1 3 7 9 21 27 31 63 81 93 103 189 217 279 309 567 651 721 837 927 1123 1953 2163 2511 2781 3193 3369 5859 6489 7861 8343 9579 10107 17577 19467 22351 23583 28737 30321 34813 58401 67053 70749 86211 90963 104439 115669 201159 212247 243691 258633 313317 347007 603477 636741 731073 809683 939951 1041021 1810431 2193219 2429049 2819853 3123063 3585739 6579657 7287147 9369189 10757217 19738971 21861441 25100173 32271651 65584323 75300519 96814953 225901557 290444859 677704671 2033114013