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204231202221321 = 321116398571283969
BaseRepresentation
bin101110011011111101001000…
…010000101010110100001001
3222210010022102122002111222200
4232123331020100222310021
5203232111000232040241
62002210304041310413
761006134402633132
oct5633751020526411
9883108378074880
10204231202221321
115a08aa6a3a2890
121aaa5460495409
1389c5bc5860122
143860bb2ddac89
1518927c79214b6
hexb9bf4842ad09

204231202221321 has 48 divisors (see below), whose sum is σ = 323826314235840. Its totient is φ = 123004545269760.

The previous prime is 204231202221317. The next prime is 204231202221349. The reversal of 204231202221321 is 123122202132402.

204231202221321 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 312 + 0 + 2 + 2 + 21 + 321 = 666.

It is not a de Polignac number, because 204231202221321 - 22 = 204231202221317 is a prime.

It is a super-2 number, since 2×2042312022213212 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204231202220321) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 158420425 + ... + 159704393.

It is an arithmetic number, because the mean of its divisors is an integer number (6746381546580).

Almost surely, 2204231202221321 is an apocalyptic number.

It is an amenable number.

204231202221321 is a deficient number, since it is larger than the sum of its proper divisors (119595112014519).

204231202221321 is a wasteful number, since it uses less digits than its factorization.

204231202221321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294006 (or 1294003 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 204231202221321 its reverse (123122202132402), we get a palindrome (327353404353723).

The spelling of 204231202221321 in words is "two hundred four trillion, two hundred thirty-one billion, two hundred two million, two hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 11 33 99 163 489 1467 1793 5379 9857 16137 29571 88713 108427 325281 975843 1283969 1606691 3851907 4820073 11555721 14123659 14460219 17673601 42370977 53020803 127112931 159062409 209286947 627860841 1883582523 2302156417 6906469251 12656082433 20719407753 37968247299 113904741897 139216906763 417650720289 1252952160867 2062941436579 6188824309737 18566472929211 22692355802369 68077067407107 204231202221321