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132231011033 = 11237892811181
BaseRepresentation
bin111101100100110010…
…1010001101011011001
3110122022101222100102002
41323021211101223121
54131302114323113
6140425053250345
712360544022462
oct1731145215331
9418271870362
10132231011033
1151095a5a800
1221763a939b5
13c6141733c4
1465858d9d69
15368db58c58
hex1ec9951ad9

132231011033 has 48 divisors (see below), whose sum is σ = 151615754640. Its totient is φ = 115137792000.

The previous prime is 132231010997. The next prime is 132231011057. The reversal of 132231011033 is 330110132231.

It can be written as a sum of positive squares in 8 ways, for example, as 19877334169 + 112353676864 = 140987^2 + 335192^2 .

It is not a de Polignac number, because 132231011033 - 224 = 132214233817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132231010996 and 132231011014.

It is not an unprimeable number, because it can be changed into a prime (132231011083) 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, 111964703 + ... + 111965883.

It is an arithmetic number, because the mean of its divisors is an integer number (3158661555).

Almost surely, 2132231011033 is an apocalyptic number.

It is an amenable number.

132231011033 is a deficient number, since it is larger than the sum of its proper divisors (19384743607).

132231011033 is a wasteful number, since it uses less digits than its factorization.

132231011033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 132231011033 its reverse (330110132231), we get a palindrome (462341143264).

The spelling of 132231011033 in words is "one hundred thirty-two billion, two hundred thirty-one million, eleven thousand, thirty-three".

Divisors: 1 11 37 89 121 281 407 979 1181 3091 3293 4477 10397 10769 12991 25009 34001 36223 43697 105109 114367 142901 275099 331861 398453 480667 925333 1156199 1258037 3026089 3650471 3889033 5287337 10178663 12278857 12718189 29535629 40155181 42779363 111965293 135067427 324891919 470572993 1092818273 1485741697 3573811109 12021001003 132231011033