Search a number
-
+
20102120001 = 341291719213
BaseRepresentation
bin10010101110001011…
…100000001001000001
31220212221200111120000
4102232023200021001
5312132120320001
613122414110213
71311102125565
oct225613401101
956787614500
1020102120001
118586139317
123a901ab369
131b848b1382
14d89aa96a5
157c9bdda86
hex4ae2e0241

20102120001 has 20 divisors (see below), whose sum is σ = 30032980692. Its totient is φ = 13399678368.

The previous prime is 20102119997. The next prime is 20102120057. The reversal of 20102120001 is 10002120102.

It can be written as a sum of positive squares in 2 ways, for example, as 16092191025 + 4009928976 = 126855^2 + 63324^2 .

It is not a de Polignac number, because 20102120001 - 22 = 20102119997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20102120201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1036671 + ... + 1055883.

Almost surely, 220102120001 is an apocalyptic number.

It is an amenable number.

20102120001 is a deficient number, since it is larger than the sum of its proper divisors (9930860691).

20102120001 is a wasteful number, since it uses less digits than its factorization.

20102120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32142 (or 32133 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20102120001 its reverse (10002120102), we get a palindrome (30104240103).

The spelling of 20102120001 in words is "twenty billion, one hundred two million, one hundred twenty thousand, one".

Divisors: 1 3 9 27 81 12917 19213 38751 57639 116253 172917 348759 518751 1046277 1556253 248174321 744522963 2233568889 6700706667 20102120001