Search a number
-
+
100032210322 = 21121724315073
BaseRepresentation
bin101110100101001100…
…0100110010110010010
3100120012102020210111121
41131022120212112102
53114331221212242
6113542033232454
710140614521102
oct1351230462622
9316172223447
10100032210322
1139472636200
121747870272a
1395823a97c5
144bad447202
152906e9d667
hex174a626592

100032210322 has 24 divisors (see below), whose sum is σ = 174630861468. Its totient is φ = 42794526720.

The previous prime is 100032210251. The next prime is 100032210349. The reversal of 100032210322 is 223012230001.

It can be written as a sum of positive squares in 2 ways, for example, as 97669375441 + 2362834881 = 312521^2 + 48609^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100032210296 and 100032210305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12153423 + ... + 12161650.

Almost surely, 2100032210322 is an apocalyptic number.

100032210322 is a deficient number, since it is larger than the sum of its proper divisors (74598651146).

100032210322 is a wasteful number, since it uses less digits than its factorization.

100032210322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24315114 (or 24315103 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100032210322 its reverse (223012230001), we get a palindrome (323044440323).

The spelling of 100032210322 in words is "one hundred billion, thirty-two million, two hundred ten thousand, three hundred twenty-two".

Divisors: 1 2 11 17 22 34 121 187 242 374 2057 4114 24315073 48630146 267465803 413356241 534931606 826712482 2942123833 4546918651 5884247666 9093837302 50016105161 100032210322