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10114131110 = 251953232269
BaseRepresentation
bin10010110101101100…
…10110010010100110
3222002212112002120112
421122312112102212
5131203204143420
64351340533022
7505431460466
oct113266262246
928085462515
1010114131110
114320188446
121b63251172
13c5253ac85
146bd391ba6
153e2e048c5
hex25ad964a6

10114131110 has 16 divisors (see below), whose sum is σ = 19163617200. Its totient is φ = 3832723296.

The previous prime is 10114131103. The next prime is 10114131119. The reversal of 10114131110 is 1113141101.

It is a happy number.

10114131110 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101141311102 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114131119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26615945 + ... + 26616324.

It is an arithmetic number, because the mean of its divisors is an integer number (1197726075).

Almost surely, 210114131110 is an apocalyptic number.

10114131110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10114131110 is a deficient number, since it is larger than the sum of its proper divisors (9049486090).

10114131110 is a wasteful number, since it uses less digits than its factorization.

10114131110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53232295.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 10114131110 its reverse (1113141101), we get a palindrome (11227272211).

Subtracting from 10114131110 its reverse (1113141101), we obtain a palindrome (9000990009).

The spelling of 10114131110 in words is "ten billion, one hundred fourteen million, one hundred thirty-one thousand, one hundred ten".

Divisors: 1 2 5 10 19 38 95 190 53232269 106464538 266161345 532322690 1011413111 2022826222 5057065555 10114131110