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11132033121 = 331140499257
BaseRepresentation
bin10100101111000010…
…10101100001100001
31001201210212212122000
422113201111201201
5140244300024441
65040342034213
7542601502026
oct122741254141
931653785560
1011132033121
1147a2819280
1221a8118969
1310853a5661
1477863d54d
154524702b6
hex297855861

11132033121 has 32 divisors (see below), whose sum is σ = 17997552000. Its totient is φ = 6744291840.

The previous prime is 11132033057. The next prime is 11132033131. The reversal of 11132033121 is 12133023111.

11132033121 is a `hidden beast` number, since 1 + 11 + 320 + 331 + 2 + 1 = 666.

It is not a de Polignac number, because 11132033121 - 26 = 11132033057 is a prime.

It is a super-2 number, since 2×111320331212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11132033094 and 11132033103.

It is not an unprimeable number, because it can be changed into a prime (11132033131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1197925 + ... + 1207181.

It is an arithmetic number, because the mean of its divisors is an integer number (562423500).

Almost surely, 211132033121 is an apocalyptic number.

11132033121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11132033121 is a deficient number, since it is larger than the sum of its proper divisors (6865518879).

11132033121 is a wasteful number, since it uses less digits than its factorization.

11132033121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13326 (or 13320 counting only the distinct ones).

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

Adding to 11132033121 its reverse (12133023111), we get a palindrome (23265056232).

It can be divided in two parts, 111320 and 33121, that added together give a palindrome (144441).

The spelling of 11132033121 in words is "eleven billion, one hundred thirty-two million, thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 99 297 4049 9257 12147 27771 36441 44539 83313 101827 109323 133617 249939 305481 400851 916443 1202553 2749329 37481593 112444779 337334337 412297523 1012003011 1236892569 3710677707 11132033121