Search a number
-
+
10132244003 = 7103109229563
BaseRepresentation
bin10010110111110110…
…11100011000100011
3222011010121022210102
421123323130120203
5131222323302003
64353225053015
7506041436660
oct113373343043
928133538712
1010132244003
11432a429982
121b6932716b
13c5621046b
146c1948a67
153e47d1588
hex25bedc623

10132244003 has 32 divisors (see below), whose sum is σ = 11871974400. Its totient is φ = 8469277056.

The previous prime is 10132243921. The next prime is 10132244029. The reversal of 10132244003 is 30044223101.

It is a cyclic number.

It is not a de Polignac number, because 10132244003 - 218 = 10131981859 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10132244033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17996600 + ... + 17997162.

It is an arithmetic number, because the mean of its divisors is an integer number (370999200).

Almost surely, 210132244003 is an apocalyptic number.

10132244003 is a deficient number, since it is larger than the sum of its proper divisors (1739730397).

10132244003 is a wasteful number, since it uses less digits than its factorization.

10132244003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10132244003 its reverse (30044223101), we get a palindrome (40176467104).

The spelling of 10132244003 in words is "ten billion, one hundred thirty-two million, two hundred forty-four thousand, three".

Divisors: 1 7 103 109 229 563 721 763 1603 3941 11227 23587 24961 57989 61367 78589 128927 165109 174727 405923 429569 902489 2570983 6320801 13279481 14053043 17996881 44245607 92956367 98371301 1447463429 10132244003