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11212133301 = 3217219211941
BaseRepresentation
bin10100111000100101…
…11001001110110101
31001221101121101102100
422130102321032311
5140430301231201
65052322532313
7544563363165
oct123422711665
931841541370
1011212133301
114833a58776
12220ab07099
131098b6c505
147851305a5
154594e3886
hex29c4b93b5

11212133301 has 54 divisors (see below), whose sum is σ = 18158658882. Its totient is φ = 6664239360.

The previous prime is 11212133299. The next prime is 11212133327. The reversal of 11212133301 is 10333121211.

11212133301 is a `hidden beast` number, since 1 + 121 + 213 + 330 + 1 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3203673201 + 8008460100 = 56601^2 + 89490^2 .

It is not a de Polignac number, because 11212133301 - 21 = 11212133299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212133501) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 932991 + ... + 944931.

Almost surely, 211212133301 is an apocalyptic number.

It is an amenable number.

11212133301 is a deficient number, since it is larger than the sum of its proper divisors (6946525581).

11212133301 is a wasteful number, since it uses less digits than its factorization.

11212133301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12019 (or 11980 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11212133301 its reverse (10333121211), we get a palindrome (21545254512).

The spelling of 11212133301 in words is "eleven billion, two hundred twelve million, one hundred thirty-three thousand, three hundred one".

Divisors: 1 3 9 17 19 51 57 153 171 289 323 361 867 969 1083 2601 2907 3249 5491 6137 11941 16473 18411 35823 49419 55233 104329 107469 202997 226879 312987 608991 680637 938961 1826973 2041911 3450949 3856943 4310701 10352847 11570829 12932103 31058541 34712487 38796309 65568031 73281917 196704093 219845751 590112279 659537253 1245792589 3737377767 11212133301