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10140134121 = 36131069973
BaseRepresentation
bin10010111000110011…
…00010101011101001
3222011200110012000000
421130121202223221
5131231333242441
64354110133213
7506165501145
oct113431425351
928150405000
1010140134121
114333928937
121b6bab1209
13c57a43880
146c2a00225
153e533e2b6
hex25c662ae9

10140134121 has 28 divisors (see below), whose sum is σ = 16372742148. Its totient is φ = 6240076704.

The previous prime is 10140134117. The next prime is 10140134129. The reversal of 10140134121 is 12143104101.

10140134121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3873195225 + 6266938896 = 62235^2 + 79164^2 .

It is not a de Polignac number, because 10140134121 - 22 = 10140134117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10140134094 and 10140134103.

It is not an unprimeable number, because it can be changed into a prime (10140134129) 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 27 ways as a sum of consecutive naturals, for example, 525510 + ... + 544463.

It is an arithmetic number, because the mean of its divisors is an integer number (584740791).

Almost surely, 210140134121 is an apocalyptic number.

It is an amenable number.

10140134121 is a deficient number, since it is larger than the sum of its proper divisors (6232608027).

10140134121 is an equidigital number, since it uses as much as digits as its factorization.

10140134121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070004 (or 1069989 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10140134121 its reverse (12143104101), we get a palindrome (22283238222).

The spelling of 10140134121 in words is "ten billion, one hundred forty million, one hundred thirty-four thousand, one hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 243 351 729 1053 3159 9477 1069973 3209919 9629757 13909649 28889271 41728947 86667813 125186841 260003439 375560523 780010317 1126681569 3380044707 10140134121