Search a number
-
+
2112406401 = 37100590781
BaseRepresentation
bin111110111101000…
…1100001110000001
312110012212100211010
41331322030032001
513311234001101
6545340111133
7103230105150
oct17572141601
95405770733
102112406401
11994442216
124ab5354a9
13278842b21
14160799597
15c56b82d6
hex7de8c381

2112406401 has 8 divisors (see below), whose sum is σ = 3218905024. Its totient is φ = 1207089360.

The previous prime is 2112406397. The next prime is 2112406403. The reversal of 2112406401 is 1046042112.

It is a happy number.

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

It is not a de Polignac number, because 2112406401 - 22 = 2112406397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 100590781 = 2112406401 / (2 + 1 + 1 + 2 + 4 + 0 + 6 + 4 + 0 + 1).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2112406403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50295370 + ... + 50295411.

It is an arithmetic number, because the mean of its divisors is an integer number (402363128).

Almost surely, 22112406401 is an apocalyptic number.

2112406401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2112406401 is a deficient number, since it is larger than the sum of its proper divisors (1106498623).

2112406401 is a wasteful number, since it uses less digits than its factorization.

2112406401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100590791.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2112406401 is about 45960.9225429603. The cubic root of 2112406401 is about 1283.0960212380.

Adding to 2112406401 its reverse (1046042112), we get a palindrome (3158448513).

The spelling of 2112406401 in words is "two billion, one hundred twelve million, four hundred six thousand, four hundred one".

Divisors: 1 3 7 21 100590781 301772343 704135467 2112406401