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10114441012 = 22132928123869
BaseRepresentation
bin10010110101101111…
…00001111100110100
3222002220002211200101
421122313201330310
5131203244103022
64351351323444
7505434221134
oct113267417464
928086084611
1010114441012
11432037a265
121b63380584
13c52619050
146bd432ac4
153e2e66627
hex25ade1f34

10114441012 has 48 divisors (see below), whose sum is σ = 19790139600. Its totient is φ = 4491002880.

The previous prime is 10114440997. The next prime is 10114441013. The reversal of 10114441012 is 21014441101.

It can be written as a sum of positive squares in 8 ways, for example, as 33477796 + 10080963216 = 5786^2 + 100404^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114441013) 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 15 ways as a sum of consecutive naturals, for example, 411814 + ... + 435682.

It is an arithmetic number, because the mean of its divisors is an integer number (412294575).

Almost surely, 210114441012 is an apocalyptic number.

It is an amenable number.

10114441012 is a deficient number, since it is larger than the sum of its proper divisors (9675698588).

10114441012 is a wasteful number, since it uses less digits than its factorization.

10114441012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24196 (or 24194 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 10114441012 its reverse (21014441101), we get a palindrome (31128882113).

The spelling of 10114441012 in words is "ten billion, one hundred fourteen million, four hundred forty-one thousand, twelve".

Divisors: 1 2 4 13 26 29 52 58 116 281 377 562 754 1124 1508 3653 7306 8149 14612 16298 23869 32596 47738 95476 105937 211874 310297 423748 620594 692201 1241188 1384402 2768804 6707189 8998613 13414378 17997226 26828756 35994452 87193457 174386914 194508481 348773828 389016962 778033924 2528610253 5057220506 10114441012