Search a number
-
+
1001203023321 = 321011101433469
BaseRepresentation
bin11101001000111000101…
…10011011110111011001
310112201021120010100020100
432210130112123313121
5112400430433221241
62043540223250013
7132222513165444
oct16443426336731
93481246110210
101001203023321
11356676007146
12142058a49909
137354a5ab167
143665c12265b
151b09c19c9b6
hexe91c59bdd9

1001203023321 has 12 divisors (see below), whose sum is σ = 1460500781220. Its totient is φ = 660860080800.

The previous prime is 1001203023319. The next prime is 1001203023329. The reversal of 1001203023321 is 1233203021001.

1001203023321 is a `hidden beast` number, since 10 + 0 + 1 + 20 + 302 + 332 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 694880624025 + 306322399296 = 833595^2 + 553464^2 .

It is not a de Polignac number, because 1001203023321 - 21 = 1001203023319 is a prime.

It is a super-2 number, since 2×10012030233212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001203023294 and 1001203023303.

It is not an unprimeable number, because it can be changed into a prime (1001203023329) 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 11 ways as a sum of consecutive naturals, for example, 550715826 + ... + 550717643.

It is an arithmetic number, because the mean of its divisors is an integer number (121708398435).

Almost surely, 21001203023321 is an apocalyptic number.

It is an amenable number.

1001203023321 is a deficient number, since it is larger than the sum of its proper divisors (459297757899).

1001203023321 is a wasteful number, since it uses less digits than its factorization.

1001203023321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101433576 (or 1101433573 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1001203023321 its reverse (1233203021001), we get a palindrome (2234406044322).

The spelling of 1001203023321 in words is "one trillion, one billion, two hundred three million, twenty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 101 303 909 1101433469 3304300407 9912901221 111244780369 333734341107 1001203023321