Search a number
-
+
2121100993 = 111371407499
BaseRepresentation
bin111111001101101…
…0110111011000001
312110211020002120001
41332123112323001
513321000212433
6550250320001
7103364026624
oct17633267301
95424202501
102121100993
11999340630
124b2429001
1327a59845b
141619bddbb
15c633457d
hex7e6d6ec1

2121100993 has 8 divisors (see below), whose sum is σ = 2330820000. Its totient is φ = 1914197280.

The previous prime is 2121100991. The next prime is 2121100997. The reversal of 2121100993 is 3990011212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2121100993 - 21 = 2121100991 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2121100991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 702243 + ... + 705256.

It is an arithmetic number, because the mean of its divisors is an integer number (291352500).

Almost surely, 22121100993 is an apocalyptic number.

It is an amenable number.

2121100993 is a deficient number, since it is larger than the sum of its proper divisors (209719007).

2121100993 is a wasteful number, since it uses less digits than its factorization.

2121100993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407647.

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 2121100993 is about 46055.4122009564. The cubic root of 2121100993 is about 1284.8540045189.

The spelling of 2121100993 in words is "two billion, one hundred twenty-one million, one hundred thousand, nine hundred ninety-three".

Divisors: 1 11 137 1507 1407499 15482489 192827363 2121100993