Search a number
-
+
220312141301 = 72411312713089
BaseRepresentation
bin1100110100101110100…
…0000111110111110101
3210001122221011101010002
43031023220013313311
512102144402010201
6245113205441045
721626353205600
oct3151350076765
9701587141102
10220312141301
118548550763a
1236846110185
1317a10585cb5
14a93da1b337
155ae67eb76b
hex334ba07df5

220312141301 has 48 divisors (see below), whose sum is σ = 265598403840. Its totient is φ = 182093184000.

The previous prime is 220312141261. The next prime is 220312141349. The reversal of 220312141301 is 103141213022.

It is not a de Polignac number, because 220312141301 - 26 = 220312141237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220312141351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71319965 + ... + 71323053.

It is an arithmetic number, because the mean of its divisors is an integer number (5533300080).

Almost surely, 2220312141301 is an apocalyptic number.

It is an amenable number.

220312141301 is a deficient number, since it is larger than the sum of its proper divisors (45286262539).

220312141301 is a wasteful number, since it uses less digits than its factorization.

220312141301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 220312141301 its reverse (103141213022), we get a palindrome (323453354323).

It can be divided in two parts, 2203121 and 41301, that added together give a palindrome (2244422).

The spelling of 220312141301 in words is "two hundred twenty billion, three hundred twelve million, one hundred forty-one thousand, three hundred one".

Divisors: 1 7 41 49 131 271 287 917 1897 2009 3089 5371 6419 11111 13279 21623 35501 37597 77777 126649 151361 248507 263179 404659 544439 837119 886543 1455541 1739549 2832613 5859833 6205801 10188787 16591019 19828291 34321879 41018831 71321509 109662589 116137133 240253153 767638123 812959931 1681772071 4496166149 5373466861 31473163043 220312141301