Search a number
-
+
2121233101 = 132940913757
BaseRepresentation
bin111111001101111…
…0111001011001101
312110211110210202221
41332123313023031
513321013424401
6550253215341
7103365120031
oct17633671315
95424423687
102121233101
11999420909
124b2491551
1327a613620
14161a161c1
15c635d7a1
hex7e6f72cd

2121233101 has 16 divisors (see below), whose sum is σ = 2369127600. Its totient is φ = 1885782528.

The previous prime is 2121233087. The next prime is 2121233119. The reversal of 2121233101 is 1013321212.

It can be written as a sum of positive squares in 8 ways, for example, as 109620900 + 2011612201 = 10470^2 + 44851^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121233101 - 25 = 2121233069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121233141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147315 + ... + 161071.

It is an arithmetic number, because the mean of its divisors is an integer number (148070475).

Almost surely, 22121233101 is an apocalyptic number.

It is an amenable number.

2121233101 is a deficient number, since it is larger than the sum of its proper divisors (247894499).

2121233101 is a wasteful number, since it uses less digits than its factorization.

2121233101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14208.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2121233101 is about 46056.8464074561. The cubic root of 2121233101 is about 1284.8806787114.

Adding to 2121233101 its reverse (1013321212), we get a palindrome (3134554313).

The spelling of 2121233101 in words is "two billion, one hundred twenty-one million, two hundred thirty-three thousand, one hundred one".

Divisors: 1 13 29 377 409 5317 11861 13757 154193 178841 398953 5186389 5626613 73145969 163171777 2121233101