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10142164561 is a prime number
BaseRepresentation
bin10010111001000010…
…10010011001010001
3222011211021100020111
421130201102121101
5131232343231221
64354221441321
7506221655614
oct113441223121
928154240214
1010142164561
114334a95391
121b70710241
13c582a4b09
146c2dac17b
153e55e0be1
hex25c852651

10142164561 has 2 divisors, whose sum is σ = 10142164562. Its totient is φ = 10142164560.

The previous prime is 10142164531. The next prime is 10142164621. The reversal of 10142164561 is 16546124101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8870814225 + 1271350336 = 94185^2 + 35656^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10142164561 is a prime.

It is not a weakly prime, because it can be changed into another prime (10142164531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5071082280 + 5071082281.

It is an arithmetic number, because the mean of its divisors is an integer number (5071082281).

Almost surely, 210142164561 is an apocalyptic number.

It is an amenable number.

10142164561 is a deficient number, since it is larger than the sum of its proper divisors (1).

10142164561 is an equidigital number, since it uses as much as digits as its factorization.

10142164561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 31.

Adding to 10142164561 its reverse (16546124101), we get a palindrome (26688288662).

The spelling of 10142164561 in words is "ten billion, one hundred forty-two million, one hundred sixty-four thousand, five hundred sixty-one".