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211620643325 = 52713181513923
BaseRepresentation
bin1100010100010110010…
…0101100000111111101
3202020020012120112022122
43011011210230013331
511431344341041300
6241114524452325
721201104534420
oct3050544540775
9666205515278
10211620643325
1181825377563
123501b3aa0a5
1316c569bc5a0
14a35758d9b7
15578875cc85
hex314592c1fd

211620643325 has 48 divisors (see below), whose sum is σ = 324750631296. Its totient is φ = 133208582400.

The previous prime is 211620643319. The next prime is 211620643337. The reversal of 211620643325 is 523346026112.

211620643325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211620643325 - 234 = 194440774141 is a prime.

It is a super-3 number, since 3×2116206433253 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 154814 + ... + 668736.

It is an arithmetic number, because the mean of its divisors is an integer number (6765638152).

Almost surely, 2211620643325 is an apocalyptic number.

211620643325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

211620643325 is a deficient number, since it is larger than the sum of its proper divisors (113129987971).

211620643325 is a wasteful number, since it uses less digits than its factorization.

211620643325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514134 (or 514129 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

Adding to 211620643325 its reverse (523346026112), we get a palindrome (734966669437).

The spelling of 211620643325 in words is "two hundred eleven billion, six hundred twenty million, six hundred forty-three thousand, three hundred twenty-five".

Divisors: 1 5 7 13 25 35 65 91 175 181 325 455 905 1267 2275 2353 4525 6335 11765 16471 31675 58825 82355 411775 513923 2569615 3597461 6680999 12848075 17987305 33404995 46766993 89936525 93020063 167024975 233834965 465100315 651140441 1169174825 1209260819 2325501575 3255702205 6046304095 8464825733 16278511025 30231520475 42324128665 211620643325