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11133211212 = 223511453921
BaseRepresentation
bin10100101111001011…
…10101001001001100
31001201220002201200000
422113211311021030
5140300100224322
65040423204300
7542614506504
oct122745651114
931656081600
1011133211212
1147a3453402
1221a85a6690
1310856c8956
14778868a04
154526043ac
hex29797524c

11133211212 has 36 divisors (see below), whose sum is σ = 29184593256. Its totient is φ = 3711070080.

The previous prime is 11133211211. The next prime is 11133211231. The reversal of 11133211212 is 21211233111.

11133211212 is a `hidden beast` number, since 111 + 332 + 11 + 212 = 666.

11133211212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11133211211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5725989 + ... + 5727932.

It is an arithmetic number, because the mean of its divisors is an integer number (810683146).

Almost surely, 211133211212 is an apocalyptic number.

11133211212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11133211212 is an abundant number, since it is smaller than the sum of its proper divisors (18051382044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11133211212 is a wasteful number, since it uses less digits than its factorization.

11133211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11453940 (or 11453926 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 11133211212 its reverse (21211233111), we get a palindrome (32344444323).

The spelling of 11133211212 in words is "eleven billion, one hundred thirty-three million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 11453921 22907842 34361763 45815684 68723526 103085289 137447052 206170578 309255867 412341156 618511734 927767601 1237023468 1855535202 2783302803 3711070404 5566605606 11133211212