Search a number
-
+
2013130112 = 277345853
BaseRepresentation
bin111011111111101…
…1110110110000000
312012022001121100112
41313333132312000
513110330130422
6531432210452
7100613216000
oct16777366600
95168047315
102013130112
119433a54a4
12482239a28
132610c3866
14151516000
15bbb07ee2
hex77fded80

2013130112 has 64 divisors (see below), whose sum is σ = 4677108000. Its totient is φ = 862751232.

The previous prime is 2013130109. The next prime is 2013130127. The reversal of 2013130112 is 2110313102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×20131301122 = 8105385695682265088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20978 + ... + 66830.

Almost surely, 22013130112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338554000).

2013130112 is an abundant number, since it is smaller than the sum of its proper divisors (2663977888).

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

2013130112 is an frugal number, since it uses more digits than its factorization.

2013130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45888 (or 45862 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2013130112 is about 44867.9185164634. The cubic root of 2013130112 is about 1262.6721889382.

Adding to 2013130112 its reverse (2110313102), we get a palindrome (4123443214).

It can be divided in two parts, 201 and 3130112, that added together give a palindrome (3130313).

The spelling of 2013130112 in words is "two billion, thirteen million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 343 392 448 686 784 896 1372 1568 2744 3136 5488 6272 10976 21952 43904 45853 91706 183412 320971 366824 641942 733648 1283884 1467296 2246797 2567768 2934592 4493594 5135536 5869184 8987188 10271072 15727579 17974376 20542144 31455158 35948752 41084288 62910316 71897504 125820632 143795008 251641264 287590016 503282528 1006565056 2013130112