Search a number
-
+
10142100411 = 367420112011
BaseRepresentation
bin10010111001000010…
…00010101110111011
3222011211011002020120
421130201002232323
5131232334203121
64354220224323
7506221300602
oct113441025673
928154132216
1010142100411
114334a51173
121b7069b0a3
13c58281861
146c2d92a39
153e55cbbc6
hex25c842bbb

10142100411 has 16 divisors (see below), whose sum is σ = 13729043328. Its totient is φ = 6658344000.

The previous prime is 10142100391. The next prime is 10142100427. The reversal of 10142100411 is 11400124101.

10142100411 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10142100411 - 25 = 10142100379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10142100481) 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 15 ways as a sum of consecutive naturals, for example, 838396 + ... + 850406.

It is an arithmetic number, because the mean of its divisors is an integer number (858065208).

Almost surely, 210142100411 is an apocalyptic number.

10142100411 is a deficient number, since it is larger than the sum of its proper divisors (3586942917).

10142100411 is a wasteful number, since it uses less digits than its factorization.

10142100411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16282.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10142100411 its reverse (11400124101), we get a palindrome (21542224512).

The spelling of 10142100411 in words is "ten billion, one hundred forty-two million, one hundred thousand, four hundred eleven".

Divisors: 1 3 67 201 4201 12011 12603 36033 281467 804737 844401 2414211 50458211 151374633 3380700137 10142100411