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11132133132 = 22333713192087
BaseRepresentation
bin10100101111000011…
…01101111100001100
31001201211001221211010
422113201231330030
5140244311230012
65040344125220
7542602366431
oct122741557414
931654057733
1011132133132
1147a288742a
1221a8166810
13108540c033
14778667b88
1545248ec3c
hex29786df0c

11132133132 has 48 divisors (see below), whose sum is σ = 26084298240. Its totient is φ = 3695123712.

The previous prime is 11132133119. The next prime is 11132133161. The reversal of 11132133132 is 23133123111.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 11132133099 and 11132133108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5332993 + ... + 5335079.

It is an arithmetic number, because the mean of its divisors is an integer number (543422880).

Almost surely, 211132133132 is an apocalyptic number.

11132133132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11132133132 is an abundant number, since it is smaller than the sum of its proper divisors (14952165108).

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

11132133132 is a wasteful number, since it uses less digits than its factorization.

11132133132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750 (or 3748 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

Adding to 11132133132 its reverse (23133123111), we get a palindrome (34265256243).

It can be divided in two parts, 111321 and 33132, that added together give a triangular number (144453 = T537).

The spelling of 11132133132 in words is "eleven billion, one hundred thirty-two million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 337 674 1011 1319 1348 2022 2087 2638 3957 4044 4174 5276 6261 7914 8348 12522 15828 25044 444503 703319 889006 1333509 1406638 1778012 2109957 2667018 2752753 2813276 4219914 5334036 5505506 8258259 8439828 11011012 16516518 33033036 927677761 1855355522 2783033283 3710711044 5566066566 11132133132