Search a number
-
+
2125355441 = 1136723833
BaseRepresentation
bin111111010101110…
…0101100110110001
312111010020020120012
41332223211212301
513323042333231
6550521424305
7103445136356
oct17653454661
95433206505
102125355441
119a0787000
124b393b095
1327b427a91
141623aa62d
15c68c4e2b
hex7eae59b1

2125355441 has 16 divisors (see below), whose sum is σ = 2372722368. Its totient is φ = 1903223520.

The previous prime is 2125355437. The next prime is 2125355497. The reversal of 2125355441 is 1445535212.

It is not a de Polignac number, because 2125355441 - 22 = 2125355437 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2125355398 and 2125355407.

It is not an unprimeable number, because it can be changed into a prime (2125355431) 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 15 ways as a sum of consecutive naturals, for example, 77261 + ... + 101093.

It is an arithmetic number, because the mean of its divisors is an integer number (148295148).

Almost surely, 22125355441 is an apocalyptic number.

It is an amenable number.

2125355441 is a deficient number, since it is larger than the sum of its proper divisors (247366927).

2125355441 is an equidigital number, since it uses as much as digits as its factorization.

2125355441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23933 (or 23911 counting only the distinct ones).

The product of its digits is 24000, while the sum is 32.

The square root of 2125355441 is about 46101.5774242053. The cubic root of 2125355441 is about 1285.7124728152.

The spelling of 2125355441 in words is "two billion, one hundred twenty-five million, three hundred fifty-five thousand, four hundred forty-one".

Divisors: 1 11 67 121 737 1331 8107 23833 89177 262163 1596811 2883793 17564921 31721723 193214131 2125355441