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216125040321 = 3319940224277
BaseRepresentation
bin1100100101001000001…
…1100110011011000001
3202122212010101121101000
43021102003212123001
512020111002242241
6243141513402213
721420531350241
oct3112203463301
9678763347330
10216125040321
1183726a50703
1235a77a09369
13174c3c75558
14a6638c1b21
15594de18eb6
hex32520e66c1

216125040321 has 16 divisors (see below), whose sum is σ = 321794224000. Its totient is φ = 143359319664.

The previous prime is 216125040293. The next prime is 216125040353. The reversal of 216125040321 is 123040521612.

216125040321 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 250 + 403 + 2 + 1 = 666.

It is not a de Polignac number, because 216125040321 - 214 = 216125023937 is a prime.

It is a super-3 number, since 3×2161250403213 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (216125040121) 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, 20106766 + ... + 20117511.

It is an arithmetic number, because the mean of its divisors is an integer number (20112139000).

Almost surely, 2216125040321 is an apocalyptic number.

It is an amenable number.

216125040321 is a deficient number, since it is larger than the sum of its proper divisors (105669183679).

216125040321 is a wasteful number, since it uses less digits than its factorization.

216125040321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40224485 (or 40224479 counting only the distinct ones).

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

Adding to 216125040321 its reverse (123040521612), we get a palindrome (339165561933).

The spelling of 216125040321 in words is "two hundred sixteen billion, one hundred twenty-five million, forty thousand, three hundred twenty-one".

Divisors: 1 3 9 27 199 597 1791 5373 40224277 120672831 362018493 1086055479 8004631123 24013893369 72041680107 216125040321