Search a number
-
+
2141330013 = 34176772297
BaseRepresentation
bin111111110100010…
…0001101001011101
312112020021211120000
41333220201221131
513341140030023
6552252044513
7104031001434
oct17750415135
95466254500
102141330013
119a97a7a29
124b9163739
1328182bba4
1416456811b
15c7ecd243
hex7fa21a5d

2141330013 has 40 divisors (see below), whose sum is σ = 3393419832. Its totient is φ = 1341010944.

The previous prime is 2141330003. The next prime is 2141330017. The reversal of 2141330013 is 3100331412.

It can be written as a sum of positive squares in 4 ways, for example, as 1271492964 + 869837049 = 35658^2 + 29493^2 .

It is not a de Polignac number, because 2141330013 - 212 = 2141325917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141330017) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 931081 + ... + 933377.

Almost surely, 22141330013 is an apocalyptic number.

It is an amenable number.

2141330013 is a deficient number, since it is larger than the sum of its proper divisors (1252089819).

2141330013 is a wasteful number, since it uses less digits than its factorization.

2141330013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2141330013 is about 46274.5071610709. The cubic root of 2141330013 is about 1288.9256549926.

Adding to 2141330013 its reverse (3100331412), we get a palindrome (5241661425).

The spelling of 2141330013 in words is "two billion, one hundred forty-one million, three hundred thirty thousand, thirteen".

Divisors: 1 3 9 17 27 51 81 153 459 677 1377 2031 2297 6093 6891 11509 18279 20673 34527 39049 54837 62019 103581 117147 186057 310743 351441 932229 1054323 1555069 3162969 4665207 13995621 26436173 41986863 79308519 125960589 237925557 713776671 2141330013