Search a number
-
+
10630141027 = 116192917053
BaseRepresentation
bin10011110011001101…
…10001010001100011
31000102211111010002221
421321212301101203
5133232304003102
64514452451511
7524265464542
oct117146612143
930384433087
1010630141027
11456548a320
122088019b97
13100540a29c
1472bb14159
15423381637
hex2799b1463

10630141027 has 16 divisors (see below), whose sum is σ = 11800003680. Its totient is φ = 9494553600.

The previous prime is 10630141009. The next prime is 10630141037. The reversal of 10630141027 is 72014103601.

10630141027 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10630141027 is a prime.

It is a super-2 number, since 2×106301410272 (a number of 21 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 = 10630140992 and 10630141010.

It is not an unprimeable number, because it can be changed into a prime (10630141037) 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, 614833 + ... + 631885.

It is an arithmetic number, because the mean of its divisors is an integer number (737500230).

Almost surely, 210630141027 is an apocalyptic number.

10630141027 is a deficient number, since it is larger than the sum of its proper divisors (1169862653).

10630141027 is a wasteful number, since it uses less digits than its factorization.

10630141027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18054.

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 10630141027 its reverse (72014103601), we get a palindrome (82644244628).

The spelling of 10630141027 in words is "ten billion, six hundred thirty million, one hundred forty-one thousand, twenty-seven".

Divisors: 1 11 61 671 929 10219 17053 56669 187583 623359 1040233 11442563 15842237 174264607 966376457 10630141027