Search a number
-
+
2101304120224 = 25194122183843
BaseRepresentation
bin11110100100111111011…
…111000101001110100000
321102212211111102100211211
4132210333133011032200
5233411432323321344
64245154211515504
7304546163214241
oct36447737051640
97385744370754
102101304120224
117401814387a1
1229b2b65b8b94
131231c92c228a
14739bcbc4cc8
15399d696d334
hex1e93f7c53a0

2101304120224 has 48 divisors (see below), whose sum is σ = 4354833883680. Its totient is φ = 995318565120.

The previous prime is 2101304120219. The next prime is 2101304120233. The reversal of 2101304120224 is 4220214031012.

It is a junction number, because it is equal to n+sod(n) for n = 2101304120195 and 2101304120204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25020447 + ... + 25104289.

It is an arithmetic number, because the mean of its divisors is an integer number (90725705910).

Almost surely, 22101304120224 is an apocalyptic number.

It is an amenable number.

2101304120224 is an abundant number, since it is smaller than the sum of its proper divisors (2253529763456).

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

2101304120224 is a wasteful number, since it uses less digits than its factorization.

2101304120224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125093 (or 125085 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 2101304120224 its reverse (4220214031012), we get a palindrome (6321518151236).

The spelling of 2101304120224 in words is "two trillion, one hundred one billion, three hundred four million, one hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 41221 82442 83843 164884 167686 329768 335372 659536 670744 783199 1319072 1341488 1566398 1593017 2682976 3132796 3186034 6265592 6372068 12531184 12744136 25062368 25488272 50976544 3456092303 6912184606 13824369212 27648738424 55297476848 65665753757 110594953696 131331507514 262663015028 525326030056 1050652060112 2101304120224