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20102013 = 34416053
BaseRepresentation
bin100110010101…
…1101101111101
31101211021210000
41030223231331
520121231023
61554504513
7332602311
oct114535575
941737700
1020102013
111038aa38
126895139
13421a9a9
142953b41
151b71243
hex132bb7d

20102013 has 20 divisors (see below), whose sum is σ = 30766428. Its totient is φ = 13072320.

The previous prime is 20102009. The next prime is 20102029. The reversal of 20102013 is 31020102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1205604 + 18896409 = 1098^2 + 4347^2 .

It is not a de Polignac number, because 20102013 - 22 = 20102009 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 a junction number, because it is equal to n+sod(n) for n = 20101986 and 20102004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 295 + ... + 6347.

Almost surely, 220102013 is an apocalyptic number.

It is an amenable number.

20102013 is a deficient number, since it is larger than the sum of its proper divisors (10664415).

20102013 is an equidigital number, since it uses as much as digits as its factorization.

20102013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6106 (or 6097 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 20102013 is about 4483.5268483639. The cubic root of 20102013 is about 271.9024890160.

Adding to 20102013 its reverse (31020102), we get a palindrome (51122115).

The spelling of 20102013 in words is "twenty million, one hundred two thousand, thirteen".

Divisors: 1 3 9 27 41 81 123 369 1107 3321 6053 18159 54477 163431 248173 490293 744519 2233557 6700671 20102013