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10142121041 = 137949120113
BaseRepresentation
bin10010111001000010…
…00111110001010001
3222011211012010112122
421130201013301101
5131232340333131
64354220504025
7506221415003
oct113441076121
928154163478
1010142121041
114334a65718
121b706ab015
13c5828b070
146c2d9a373
153e55d2d7b
hex25c847c51

10142121041 has 16 divisors (see below), whose sum is σ = 11083618560. Its totient is φ = 9224167680.

The previous prime is 10142120999. The next prime is 10142121089. The reversal of 10142121041 is 14012124101.

It is not a de Polignac number, because 10142121041 - 26 = 10142120977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10142121641) 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, 494201 + ... + 514313.

It is an arithmetic number, because the mean of its divisors is an integer number (692726160).

Almost surely, 210142121041 is an apocalyptic number.

It is an amenable number.

10142121041 is a deficient number, since it is larger than the sum of its proper divisors (941497519).

10142121041 is a wasteful number, since it uses less digits than its factorization.

10142121041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20696.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10142121041 its reverse (14012124101), we get a palindrome (24154245142).

The spelling of 10142121041 in words is "ten billion, one hundred forty-two million, one hundred twenty-one thousand, forty-one".

Divisors: 1 13 79 491 1027 6383 20113 38789 261469 504257 1588927 9875483 20656051 128381279 780163157 10142121041