Search a number
-
+
1001030332221 = 32197380191487
BaseRepresentation
bin11101001000100100000…
…11101010111100111101
310112200211112011201120200
432210102003222330331
5112400102231112341
62043511134034113
7132215315301033
oct16442203527475
93480745151520
101001030332221
11356597586827
1214200b048939
1373520895c8a
143664320c553
151b08be39db6
hexe9120eaf3d

1001030332221 has 24 divisors (see below), whose sum is σ = 1542884229120. Its totient is φ = 623568995136.

The previous prime is 1001030332219. The next prime is 1001030332243. The reversal of 1001030332221 is 1222330301001.

1001030332221 is a `hidden beast` number, since 10 + 0 + 10 + 303 + 322 + 21 = 666.

It is not a de Polignac number, because 1001030332221 - 21 = 1001030332219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001030332194 and 1001030332203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001030332201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40083261 + ... + 40108226.

It is an arithmetic number, because the mean of its divisors is an integer number (64286842880).

Almost surely, 21001030332221 is an apocalyptic number.

It is an amenable number.

1001030332221 is a deficient number, since it is larger than the sum of its proper divisors (541853896899).

1001030332221 is a wasteful number, since it uses less digits than its factorization.

1001030332221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80191585 (or 80191582 counting only the distinct ones).

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

Adding to 1001030332221 its reverse (1222330301001), we get a palindrome (2223360633222).

The spelling of 1001030332221 in words is "one trillion, one billion, thirty million, three hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 19 57 73 171 219 657 1387 4161 12483 80191487 240574461 721723383 1523638253 4570914759 5853978551 13712744277 17561935653 52685806959 111225592469 333676777407 1001030332221