Search a number
-
+
10414014201 = 321157112689
BaseRepresentation
bin10011011001011100…
…10011111011111001
3222212202210201211200
421230232103323321
5132311441423301
64441212244413
7516032442303
oct115456237371
928782721750
1010414014201
114464492008
122027770709
13c9c6c77a6
1470b134973
1540e3ddc86
hex26cb93ef9

10414014201 has 6 divisors (see below), whose sum is σ = 15042464970. Its totient is φ = 6942676128.

The previous prime is 10414014197. The next prime is 10414014223. The reversal of 10414014201 is 10241041401.

10414014201 is a `hidden beast` number, since 104 + 140 + 1 + 420 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10165478976 + 248535225 = 100824^2 + 15765^2 .

It is not a de Polignac number, because 10414014201 - 22 = 10414014197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10414014101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 578556336 + ... + 578556353.

It is an arithmetic number, because the mean of its divisors is an integer number (2507077495).

Almost surely, 210414014201 is an apocalyptic number.

It is an amenable number.

10414014201 is a deficient number, since it is larger than the sum of its proper divisors (4628450769).

10414014201 is a wasteful number, since it uses less digits than its factorization.

10414014201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157112695 (or 1157112692 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10414014201 its reverse (10241041401), we get a palindrome (20655055602).

It can be divided in two parts, 104140 and 14201, that added together give a triangular number (118341 = T486).

The spelling of 10414014201 in words is "ten billion, four hundred fourteen million, fourteen thousand, two hundred one".

Divisors: 1 3 9 1157112689 3471338067 10414014201