Search a number
-
+
1001102000221 = 19151479728471
BaseRepresentation
bin11101001000101100101…
…01000100000001011101
310112201000112000211121001
432210112111010001131
5112400224103001341
62043522214110301
7132220145412451
oct16442625040135
93481015024531
101001102000221
11356623a86a84
1214202b04b391
1373532699a8b
143664c946661
151b093394d31
hexe91654405d

1001102000221 has 16 divisors (see below), whose sum is σ = 1062986342400. Its totient is φ = 940163382000.

The previous prime is 1001102000219. The next prime is 1001102000251. The reversal of 1001102000221 is 1220002011001.

It is a cyclic number.

It is not a de Polignac number, because 1001102000221 - 21 = 1001102000219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001102000198 and 1001102000207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001102000251) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1010016 + ... + 1738486.

It is an arithmetic number, because the mean of its divisors is an integer number (66436646400).

Almost surely, 21001102000221 is an apocalyptic number.

It is an amenable number.

1001102000221 is a deficient number, since it is larger than the sum of its proper divisors (61884342179).

1001102000221 is a wasteful number, since it uses less digits than its factorization.

1001102000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729120.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001102000221 its reverse (1220002011001), we get a palindrome (2221104011222).

The spelling of 1001102000221 in words is "one trillion, one billion, one hundred two million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 19 151 479 2869 9101 72329 728471 1374251 13840949 109999121 348937609 2089983299 6629814571 52689578959 1001102000221