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10142111421 = 321386684713
BaseRepresentation
bin10010111001000010…
…00101011010111101
3222011211011122100100
421130201011122331
5131232340031141
64354220351313
7506221344651
oct113441053275
928154148310
1010142111421
114334a59472
121b706a5539
13c58286880
146c2d96a61
153e55d00b6
hex25c8456bd

10142111421 has 12 divisors (see below), whose sum is σ = 15776617948. Its totient is φ = 6241299264.

The previous prime is 10142111417. The next prime is 10142111431. The reversal of 10142111421 is 12411124101.

10142111421 is a `hidden beast` number, since 101 + 421 + 1 + 142 + 1 = 666.

10142111421 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 2116460025 + 8025651396 = 46005^2 + 89586^2 .

It is not a de Polignac number, because 10142111421 - 22 = 10142111417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10142111394 and 10142111403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142111431) 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 11 ways as a sum of consecutive naturals, for example, 43342240 + ... + 43342473.

Almost surely, 210142111421 is an apocalyptic number.

It is an amenable number.

10142111421 is a deficient number, since it is larger than the sum of its proper divisors (5634506527).

10142111421 is a wasteful number, since it uses less digits than its factorization.

10142111421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86684732 (or 86684729 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10142111421 its reverse (12411124101), we get a palindrome (22553235522).

The spelling of 10142111421 in words is "ten billion, one hundred forty-two million, one hundred eleven thousand, four hundred twenty-one".

Divisors: 1 3 9 13 39 117 86684713 260054139 780162417 1126901269 3380703807 10142111421