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11444131251 = 34722883379
BaseRepresentation
bin10101010100001111…
…11001010110110011
31002112120011002210000
422222013321112303
5141414144200001
65131331241043
7553411340100
oct125207712663
932476132700
1011444131251
114942a06213
122274749183
131104c4acc7
147a7c81aa7
1546ea6da86
hex2aa1f95b3

11444131251 has 30 divisors (see below), whose sum is σ = 19886671860. Its totient is φ = 6539501304.

The previous prime is 11444131201. The next prime is 11444131333. The reversal of 11444131251 is 15213144411.

It is a happy number.

It is not a de Polignac number, because 11444131251 - 27 = 11444131123 is a prime.

It is a super-2 number, since 2×114441312512 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11444131201) 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 29 ways as a sum of consecutive naturals, for example, 1437721 + ... + 1445658.

It is an arithmetic number, because the mean of its divisors is an integer number (662889062).

Almost surely, 211444131251 is an apocalyptic number.

11444131251 is a deficient number, since it is larger than the sum of its proper divisors (8442540609).

11444131251 is an equidigital number, since it uses as much as digits as its factorization.

11444131251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883405 (or 2883389 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

Adding to 11444131251 its reverse (15213144411), we get a palindrome (26657275662).

The spelling of 11444131251 in words is "eleven billion, four hundred forty-four million, one hundred thirty-one thousand, two hundred fifty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 2883379 8650137 20183653 25950411 60550959 77851233 141285571 181652877 233553699 423856713 544958631 1271570139 1634875893 3814710417 11444131251