Search a number
-
+
1010113221 = 31310122539
BaseRepresentation
bin111100001101010…
…001101011000101
32121101201001211210
4330031101223011
54032042110341
6244122122033
734013551335
oct7415215305
92541631753
101010113221
11479201017
12242350319
1313136b440
14982210c5
155da2cc16
hex3c351ac5

1010113221 has 24 divisors (see below), whose sum is σ = 1465498720. Its totient is φ = 615211200.

The previous prime is 1010113219. The next prime is 1010113231. The reversal of 1010113221 is 1223110101.

1010113221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010113221 - 21 = 1010113219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010113197 and 1010113206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010113231) 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, 396570 + ... + 399108.

Almost surely, 21010113221 is an apocalyptic number.

It is an amenable number.

1010113221 is a deficient number, since it is larger than the sum of its proper divisors (455385499).

1010113221 is a wasteful number, since it uses less digits than its factorization.

1010113221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2656 counting only the distinct ones).

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

The square root of 1010113221 is about 31782.2784110894. The cubic root of 1010113221 is about 1003.3597729506.

Adding to 1010113221 its reverse (1223110101), we get a palindrome (2233223322).

The spelling of 1010113221 in words is "one billion, ten million, one hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 3 13 39 101 303 1313 2539 3939 7617 10201 30603 33007 99021 132613 256439 397839 769317 3333707 10001121 25900339 77701017 336704407 1010113221