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21020161800625 = 54132141072
BaseRepresentation
bin1001100011110001000110…
…10001101111100110110001
32202102111201012212112010021
410301320203101233212301
510223343242410110000
6112412310134003441
74266441130163521
oct461704321574661
982374635775107
1021020161800625
116774667384179
122435a217a6581
13b96267628400
1452954a267681
15266bb167911a
hex131e2346f9b1

21020161800625 has 45 divisors (see below), whose sum is σ = 28444757991111. Its totient is φ = 15521480676000.

The previous prime is 21020161800587. The next prime is 21020161800641. The reversal of 21020161800625 is 52600816102012.

It is a happy number.

The square root of 21020161800625 is 4584775.

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

It can be written as a sum of positive squares in 7 ways, for example, as 20762248146721 + 257913653904 = 4556561^2 + 507852^2 .

It is not a de Polignac number, because 21020161800625 - 27 = 21020161800497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1490044822 + ... + 1490058928.

Almost surely, 221020161800625 is an apocalyptic number.

21020161800625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21020161800625 is the 4584775-th square number.

21020161800625 is the 2292388-th centered octagonal number.

It is an amenable number.

21020161800625 is a deficient number, since it is larger than the sum of its proper divisors (7424596190486).

21020161800625 is an frugal number, since it uses more digits than its factorization.

21020161800625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28260 (or 14125 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

Adding to 21020161800625 its reverse (52600816102012), we get a palindrome (73620977902637).

The spelling of 21020161800625 in words is "twenty-one trillion, twenty billion, one hundred sixty-one million, eight hundred thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 169 325 625 845 1625 4225 8125 14107 21125 70535 105625 183391 352675 916955 1763375 2384083 4584775 8816875 11920415 22923875 59602075 114619375 199007449 298010375 995037245 1490051875 2587096837 4975186225 12935484185 24875931125 33632258881 64677420925 124379655625 168161294405 323387104625 840806472025 1616935523125 4204032360125 21020161800625