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10114441131 = 327114838389
BaseRepresentation
bin10010110101101111…
…00001111110101011
3222002220002211211210
421122313201332223
5131203244104011
64351351324203
7505434221364
oct113267417653
928086084753
1010114441131
11432037a363
121b63380663
13c52619112
146bd432b6b
153e2e666a6
hex25ade1fab

10114441131 has 16 divisors (see below), whose sum is σ = 13546426880. Its totient is φ = 6712748640.

The previous prime is 10114441111. The next prime is 10114441201. The reversal of 10114441131 is 13114441101.

It is not a de Polignac number, because 10114441131 - 215 = 10114408363 is a prime.

It is a super-2 number, since 2×101144411312 (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 = 10114441098 and 10114441107.

It is not an unprimeable number, because it can be changed into a prime (10114441111) 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, 1201485 + ... + 1209873.

It is an arithmetic number, because the mean of its divisors is an integer number (846651680).

Almost surely, 210114441131 is an apocalyptic number.

10114441131 is a deficient number, since it is larger than the sum of its proper divisors (3431985749).

10114441131 is a wasteful number, since it uses less digits than its factorization.

10114441131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10146.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 10114441131 its reverse (13114441101), we get a palindrome (23228882232).

The spelling of 10114441131 in words is "ten billion, one hundred fourteen million, four hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 3 271 813 1483 4449 8389 25167 401893 1205679 2273419 6820257 12440887 37322661 3371480377 10114441131