Search a number
-
+
2013111202122 = 232157649709421
BaseRepresentation
bin11101010010110110110…
…001110011000101001010
321010110012011212221001200
4131102312301303011022
5230440322431431442
64140451023325030
7265304525612106
oct35226661630512
97113164787050
102013111202122
11706834879019
122861a2a50776
13117ab299c637
146d613cc4906
153757409834c
hex1d4b6c7314a

2013111202122 has 24 divisors (see below), whose sum is σ = 4361774753700. Its totient is φ = 671031864960.

The previous prime is 2013111202073. The next prime is 2013111202127. The reversal of 2013111202122 is 2212021113102.

2013111202122 is a `hidden beast` number, since 20 + 1 + 311 + 120 + 212 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1530018089721 + 483093112401 = 1236939^2 + 695049^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2013111202095 and 2013111202104.

It is not an unprimeable number, because it can be changed into a prime (2013111202127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2482972 + ... + 3192392.

Almost surely, 22013111202122 is an apocalyptic number.

It is a pronic number, being equal to 1418841×1418842.

2013111202122 is an abundant number, since it is smaller than the sum of its proper divisors (2348663551578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2013111202122 is a wasteful number, since it uses less digits than its factorization.

2013111202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867078 (or 867075 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2013111202122 its reverse (2212021113102), we get a palindrome (4225132315224).

The spelling of 2013111202122 in words is "two trillion, thirteen billion, one hundred eleven million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 157649 315298 472947 709421 945894 1418841 1418842 2128263 2837682 4256526 6384789 12769578 111839511229 223679022458 335518533687 671037067374 1006555601061 2013111202122