Search a number
-
+
2114041240100 = 225221140412401
BaseRepresentation
bin11110110000110110101…
…011010101101000100100
321111002201011120002120102
4132300312223111220210
5234114024024140400
64255102132323232
7305506625023436
oct36606653255044
97432634502512
102114041240100
11745618192449
122a1870173518
13124479091aba
147446a680656
1539ecec949d5
hex1ec36ad5a24

2114041240100 has 18 divisors (see below), whose sum is σ = 4587469491234. Its totient is φ = 845616496000.

The previous prime is 2114041240099. The next prime is 2114041240123. The reversal of 2114041240100 is 10421404112.

It can be written as a sum of positive squares in 3 ways, for example, as 125444889124 + 1988596350976 = 354182^2 + 1410176^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10570206101 + ... + 10570206300.

Almost surely, 22114041240100 is an apocalyptic number.

2114041240100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114041240100 is an abundant number, since it is smaller than the sum of its proper divisors (2473428251134).

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

2114041240100 is a wasteful number, since it uses less digits than its factorization.

2114041240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21140412415 (or 21140412408 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2114041240100 its reverse (10421404112), we get a palindrome (2124462644212).

The spelling of 2114041240100 in words is "two trillion, one hundred fourteen billion, forty-one million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 21140412401 42280824802 84561649604 105702062005 211404124010 422808248020 528510310025 1057020620050 2114041240100