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830021213025 = 3252607372
BaseRepresentation
bin11000001010000010001…
…11101001101101100001
32221100102121100101011100
430011001013221231201
5102044340412304100
61433150111105013
7113652461621304
oct14050107515541
92840377311140
10830021213025
112a0012377454
12114a44512169
136036985b054
142c25d532b3b
15168cdc0b400
hexc1411e9b61

830021213025 has 27 divisors (see below), whose sum is σ = 1486684694521. Its totient is φ = 442670691840.

The previous prime is 830021213011. The next prime is 830021213039. The reversal of 830021213025 is 520312120038.

The square root of 830021213025 is 911055.

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

It is an interprime number because it is at equal distance from previous prime (830021213011) and next prime (830021213039).

It can be written as a sum of positive squares in 4 ways, for example, as 2889170001 + 827132043024 = 53751^2 + 909468^2 .

It is not a de Polignac number, because 830021213025 - 227 = 829886995297 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 830021213025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13635457 + ... + 13696193.

Almost surely, 2830021213025 is an apocalyptic number.

830021213025 is the 911055-th square number.

830021213025 is the 455528-th centered octagonal number.

It is an amenable number.

830021213025 is a deficient number, since it is larger than the sum of its proper divisors (656663481496).

830021213025 is an frugal number, since it uses more digits than its factorization.

830021213025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121490 (or 60745 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 830021213025 in words is "eight hundred thirty billion, twenty-one million, two hundred thirteen thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 60737 182211 303685 546633 911055 1518425 2733165 4555275 13665825 3688983169 11066949507 18444915845 33200848521 55334747535 92224579225 166004242605 276673737675 830021213025