Search a number
-
+
133033233333 = 37111397745343
BaseRepresentation
bin111101111100101100…
…1100000101110110101
3110201101022111110112010
41323321121200232311
54134423001431313
6141040431514433
712416454553140
oct1737131405665
9421338443463
10133033233333
1151467879240
1221948688a19
13c711423960
146620283057
1536d92be4c3
hex1ef9660bb5

133033233333 has 64 divisors (see below), whose sum is σ = 238406418432. Its totient is φ = 63725460480.

The previous prime is 133033233293. The next prime is 133033233343. The reversal of 133033233333 is 333332330331.

It is a happy number.

It is not a de Polignac number, because 133033233333 - 28 = 133033233077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133033233333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133033233343) 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, 2911260 + ... + 2956602.

It is an arithmetic number, because the mean of its divisors is an integer number (3725100288).

Almost surely, 2133033233333 is an apocalyptic number.

133033233333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133033233333 is a deficient number, since it is larger than the sum of its proper divisors (105373185099).

133033233333 is a wasteful number, since it uses less digits than its factorization.

133033233333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46354.

The product of its (nonzero) digits is 39366, while the sum is 30.

Adding to 133033233333 its reverse (333332330331), we get a palindrome (466365563664).

The spelling of 133033233333 in words is "one hundred thirty-three billion, thirty-three million, two hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 977 1001 2931 3003 6839 10747 12701 20517 32241 38103 45343 75229 88907 136029 139711 225687 266721 317401 419133 498773 589459 952203 977977 1496319 1768377 2933931 3491411 4126213 6484049 10474233 12378639 19452147 44300111 45388343 132900333 136165029 310100777 487301221 575901443 930302331 1461903663 1727704329 3411108547 4031310101 6334915873 10233325641 12093930303 19004747619 44344411111 133033233333