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2106351025 = 526721372
BaseRepresentation
bin111110110001100…
…0101110110110001
312102210110201101221
41331203011312301
513303211213100
6545002225041
7103124455042
oct17543056661
95383421357
102106351025
11990a86779
124a94b5181
1327750286c
1415da608c9
15c4dbe01a
hex7d8c5db1

2106351025 has 27 divisors (see below), whose sum is σ = 2670935169. Its totient is φ = 1647814080.

The previous prime is 2106351019. The next prime is 2106351041. The reversal of 2106351025 is 5201536012.

The square root of 2106351025 is 45895.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6145441 + 2100205584 = 2479^2 + 45828^2 .

It is not a de Polignac number, because 2106351025 - 25 = 2106350993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15374757 + ... + 15374893.

Almost surely, 22106351025 is an apocalyptic number.

2106351025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2106351025 is the 45895-th square number.

2106351025 is the 22948-th centered octagonal number.

It is an amenable number.

2106351025 is a deficient number, since it is larger than the sum of its proper divisors (564584144).

2106351025 is an frugal number, since it uses more digits than its factorization.

2106351025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The cubic root of 2106351025 is about 1281.8688166030.

Multiplying 2106351025 by its sum of digits (25), we get a square (52658775625 = 2294752).

2106351025 divided by its sum of digits (25) gives a square (84254041 = 91792).

Adding to 2106351025 its reverse (5201536012), we get a palindrome (7307887037).

The spelling of 2106351025 in words is "two billion, one hundred six million, three hundred fifty-one thousand, twenty-five".

Divisors: 1 5 25 67 137 335 685 1675 3425 4489 9179 18769 22445 45895 93845 112225 229475 469225 614993 1257523 3074965 6287615 15374825 31438075 84254041 421270205 2106351025