Search a number
-
+
2114131443210 = 2325171381785257
BaseRepresentation
bin11110110000111100000…
…011011011111000001010
321111002221110021212222100
4132300330003123320022
5234114220122140320
64255115113534230
7305512101523323
oct36607403337012
97432843255870
102114131443210
117456640a2376
122a1896414376
13124491985317
147447864144a
1539ed7b61790
hex1ec3c0dbe0a

2114131443210 has 48 divisors (see below), whose sum is σ = 5820079506696. Its totient is φ = 530605538304.

The previous prime is 2114131443167. The next prime is 2114131443217. The reversal of 2114131443210 is 123441314112.

It is a happy number.

2114131443210 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 1 + 3 + 1 + 443 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1724601924081 + 389529519129 = 1313241^2 + 624123^2 .

It is a super-3 number, since 3×21141314432103 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2114131443217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 690891099 + ... + 690894158.

Almost surely, 22114131443210 is an apocalyptic number.

2114131443210 is an abundant number, since it is smaller than the sum of its proper divisors (3705948063486).

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

2114131443210 is a wasteful number, since it uses less digits than its factorization.

2114131443210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381785287 (or 1381785284 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 2114131443210 its reverse (123441314112), we get a palindrome (2237572757322).

The spelling of 2114131443210 in words is "two trillion, one hundred fourteen billion, one hundred thirty-one million, four hundred forty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 1381785257 2763570514 4145355771 6908926285 8290711542 12436067313 13817852570 20726778855 23490349369 24872134626 41453557710 46980698738 62180336565 70471048107 117451746845 124360673130 140942096214 211413144321 234903493690 352355240535 422826288642 704710481070 1057065721605 2114131443210