Search a number
-
+
12133033011 = 3511103127347
BaseRepresentation
bin10110100110010111…
…10110010000110011
31011022120102221100000
423103023312100303
5144322024024021
65323541001043
7606445036041
oct132313662063
934276387300
1012133033011
115166865310
1224273b3183
1311b48a2998
1483156b391
154b029cb26
hex2d32f6433

12133033011 has 96 divisors (see below), whose sum is σ = 20235091968. Its totient is φ = 7203803040.

The previous prime is 12133033009. The next prime is 12133033049. The reversal of 12133033011 is 11033033121.

It is a happy number.

12133033011 is a `hidden beast` number, since 1 + 2 + 1 + 330 + 330 + 1 + 1 = 666.

It is not a de Polignac number, because 12133033011 - 21 = 12133033009 is a prime.

It is a super-2 number, since 2×121330330112 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12133033001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34965340 + ... + 34965686.

It is an arithmetic number, because the mean of its divisors is an integer number (210782208).

Almost surely, 212133033011 is an apocalyptic number.

12133033011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12133033011 is a deficient number, since it is larger than the sum of its proper divisors (8102058957).

12133033011 is a wasteful number, since it uses less digits than its factorization.

12133033011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12133033011 its reverse (11033033121), we get a palindrome (23166066132).

The spelling of 12133033011 in words is "twelve billion, one hundred thirty-three million, thirty-three thousand, eleven".

Divisors: 1 3 9 11 27 33 81 99 103 127 243 297 309 347 381 891 927 1041 1133 1143 1397 2673 2781 3123 3399 3429 3817 4191 8343 9369 10197 10287 11451 12573 13081 25029 28107 30591 30861 34353 35741 37719 39243 44069 84321 91773 103059 107223 113157 117729 132207 143891 275319 309177 321669 339471 353187 393151 396621 431673 484759 927531 965007 1059561 1179453 1189863 1295019 1454277 2895021 3178683 3538359 3569589 3885057 4362831 4539107 8685063 10615077 10708767 11655171 13088493 13617321 31845231 34965513 39265479 40851963 49930177 95535693 117796437 122555889 149790531 367667667 449371593 1103003001 1348114779 4044344337 12133033011