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830145821 = 131157181223
BaseRepresentation
bin110001011110110…
…000010100011101
32010212001202222112
4301132300110131
53200004131241
6214212523405
726400060131
oct6136602435
92125052875
10830145821
1139666092a
121b2020565
13102ca935b
147c3753c1
154cd2e1eb
hex317b051d

830145821 has 16 divisors (see below), whose sum is σ = 850257408. Its totient is φ = 810388800.

The previous prime is 830145817. The next prime is 830145859. The reversal of 830145821 is 128541038.

830145821 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 830145821 - 22 = 830145817 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830141821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3722516 + ... + 3722738.

It is an arithmetic number, because the mean of its divisors is an integer number (53141088).

Almost surely, 2830145821 is an apocalyptic number.

It is an amenable number.

830145821 is a deficient number, since it is larger than the sum of its proper divisors (20111587).

830145821 is a wasteful number, since it uses less digits than its factorization.

830145821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692.

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 830145821 is about 28812.2512310302. The cubic root of 830145821 is about 939.8346702591.

Adding to 830145821 its reverse (128541038), we get a palindrome (958686859).

The spelling of 830145821 in words is "eight hundred thirty million, one hundred forty-five thousand, eight hundred twenty-one".

Divisors: 1 131 157 181 223 20567 23711 28417 29213 35011 40363 3722627 4586441 5287553 6336991 830145821