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132011103033 = 321092415091097
BaseRepresentation
bin111101011110001111…
…0011001001100111001
3110121202002011212100100
41322330132121030321
54130324320244113
6140351200030013
712352233601335
oct1727436311471
9417662155310
10132011103033
1150a9290a657
1221702302309
13c5aa738824
1465646147c5
1536796bad73
hex1ebc799339

132011103033 has 48 divisors (see below), whose sum is σ = 193786678800. Its totient is φ = 86588559360.

The previous prime is 132011102999. The next prime is 132011103043. The reversal of 132011103033 is 330301110231.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10873692729 + 121137410304 = 104277^2 + 348048^2 .

It is a de Polignac number, because none of the positive numbers 2k-132011103033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132011102997 and 132011103015.

It is not an unprimeable number, because it can be changed into a prime (132011103043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120337741 + ... + 120338837.

It is an arithmetic number, because the mean of its divisors is an integer number (4037222475).

Almost surely, 2132011103033 is an apocalyptic number.

It is an amenable number.

132011103033 is a deficient number, since it is larger than the sum of its proper divisors (61775575767).

132011103033 is a wasteful number, since it uses less digits than its factorization.

132011103033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1959 counting only the distinct ones).

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

Adding to 132011103033 its reverse (330301110231), we get a palindrome (462312213264).

The spelling of 132011103033 in words is "one hundred thirty-two billion, eleven million, one hundred three thousand, thirty-three".

Divisors: 1 3 9 109 241 327 509 723 981 1097 1527 2169 3291 4581 9873 26269 55481 78807 119573 122669 166443 236421 264377 358719 368007 499329 558373 793131 1076157 1104021 1675119 2379393 5025357 13370921 28817093 40112763 60862657 86451279 120338289 134567893 182587971 259353837 403703679 547763913 1211111037 14667900337 44003701011 132011103033