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10144341311 = 133373476673
BaseRepresentation
bin10010111001010011…
…00101110100111111
3222011222100221011212
421130221211310333
5131233422410221
64354340235035
7506246323046
oct113451456477
928158327155
1010144341311
114336241855
121b7139ba7b
13c58887830
146c33b755d
153e58c0b5b
hex25ca65d3f

10144341311 has 16 divisors (see below), whose sum is σ = 10990316064. Its totient is φ = 9307920384.

The previous prime is 10144341289. The next prime is 10144341331. The reversal of 10144341311 is 11314344101.

It is a cyclic number.

It is not a de Polignac number, because 10144341311 - 210 = 10144340287 is a prime.

It is a super-2 number, since 2×101443413112 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144341331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1516871 + ... + 1523543.

It is an arithmetic number, because the mean of its divisors is an integer number (686894754).

Almost surely, 210144341311 is an apocalyptic number.

10144341311 is a deficient number, since it is larger than the sum of its proper divisors (845974753).

10144341311 is a wasteful number, since it uses less digits than its factorization.

10144341311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7370.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 10144341311 its reverse (11314344101), we get a palindrome (21458685412).

The spelling of 10144341311 in words is "ten billion, one hundred forty-four million, three hundred forty-one thousand, three hundred eleven".

Divisors: 1 13 337 347 4381 4511 6673 86749 116939 1520207 2248801 2315531 29234413 30101903 780333947 10144341311