Search a number
-
+
1010300013021 = 313212471219237
BaseRepresentation
bin11101011001110101001…
…00101100100111011101
310120120202112201022002210
432230322210230213131
5113023043300404041
62052043031311033
7132664114263345
oct16547244544735
93516675638083
101010300013021
1135a514023152
1214397751b479
137436a1899c0
1436c82383d25
151b430b37016
hexeb3a92c9dd

1010300013021 has 16 divisors (see below), whose sum is σ = 1450756665344. Its totient is φ = 621693313344.

The previous prime is 1010300012987. The next prime is 1010300013071. The reversal of 1010300013021 is 1203100030101.

It is not a de Polignac number, because 1010300013021 - 27 = 1010300012893 is a prime.

It is a super-2 number, since 2×10103000130212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010300012988 and 1010300013006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010300013071) 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 15 ways as a sum of consecutive naturals, for example, 219015 + ... + 1438251.

It is an arithmetic number, because the mean of its divisors is an integer number (90672291584).

Almost surely, 21010300013021 is an apocalyptic number.

It is an amenable number.

1010300013021 is a deficient number, since it is larger than the sum of its proper divisors (440456652323).

1010300013021 is a wasteful number, since it uses less digits than its factorization.

1010300013021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240500.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1010300013021 its reverse (1203100030101), we get a palindrome (2213400043122).

The spelling of 1010300013021 in words is "one trillion, ten billion, three hundred million, thirteen thousand, twenty-one".

Divisors: 1 3 13 39 21247 63741 276211 828633 1219237 3657711 15850081 47550243 25905128539 77715385617 336766671007 1010300013021