Search a number
-
+
132003131332123 = 61103241307443641
BaseRepresentation
bin11110000000111001011111…
…110000001001011000011011
3122022101101011012000021212201
4132000321133300021120123
5114300214403110111443
61144425222410151031
736542624436121642
oct3600713760113033
9568341135007781
10132003131332123
11390732393601a7
121297b111722477
135886ac37949ac
142484db2880359
15103da8740d34d
hex780e5fc0961b

132003131332123 has 64 divisors (see below), whose sum is σ = 136996385670144. Its totient is φ = 127141208064000.

The previous prime is 132003131332109. The next prime is 132003131332181. The reversal of 132003131332123 is 321233131300231.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 132003131332123 - 241 = 129804108076571 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132003131332091 and 132003131332100.

It is not an unprimeable number, because it can be changed into a prime (132003131392123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205933121883 + ... + 205933122523.

It is an arithmetic number, because the mean of its divisors is an integer number (2140568526096).

Almost surely, 2132003131332123 is an apocalyptic number.

132003131332123 is a deficient number, since it is larger than the sum of its proper divisors (4993254338021).

132003131332123 is a wasteful number, since it uses less digits than its factorization.

132003131332123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 132003131332123 its reverse (321233131300231), we get a palindrome (453236262632354).

The spelling of 132003131332123 in words is "one hundred thirty-two trillion, three billion, one hundred thirty-one million, three hundred thirty-two thousand, one hundred twenty-three".

Divisors: 1 61 103 241 307 443 641 6283 14701 18727 24823 27023 31621 39101 45629 66023 73987 106763 136001 154481 196787 283963 1514203 1928881 2783369 4027403 4513207 6512543 7620661 8296061 9423341 10996589 12004007 14008103 15911543 17321743 20269061 29248189 32776241 47425667 68435083 87176641 464860321 670791929 854494283 970604123 1236412721 1784139529 1999350701 2892965687 3375952823 4174540063 4884843701 5317775101 7048813549 8979194023 21009570481 205933122203 297975465761 429977626489 547730835403 1281583799341 2163985759543 132003131332123