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204220134332001 = 3417149717990589
BaseRepresentation
bin101110011011110010110100…
…100100000001011001100001
3222210002020212021220111010000
4232123302310210001121201
5203231420313342111001
62002201233510130213
761005263210264214
oct5633626444013141
9883066767814100
10204220134332001
115a0862aa905817
121aaa3291950969
1389c4b508558a8
1438604430d777b
15189237ae21a86
hexb9bcb4901661

204220134332001 has 40 divisors (see below), whose sum is σ = 323017336584360. Its totient is φ = 128137138278912.

The previous prime is 204220134331991. The next prime is 204220134332033. The reversal of 204220134332001 is 100233431022402.

204220134332001 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 20 + 1 + 3 + 433 + 200 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3819870893601 + 200400263438400 = 1954449^2 + 14156280^2 .

It is not a de Polignac number, because 204220134332001 - 213 = 204220134323809 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (204220134332051) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 205665015 + ... + 206655603.

It is an arithmetic number, because the mean of its divisors is an integer number (8075433414609).

Almost surely, 2204220134332001 is an apocalyptic number.

It is an amenable number.

204220134332001 is a deficient number, since it is larger than the sum of its proper divisors (118797202252359).

204220134332001 is a wasteful number, since it uses less digits than its factorization.

204220134332001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140335 (or 1140326 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 204220134332001 its reverse (100233431022402), we get a palindrome (304453565354403).

The spelling of 204220134332001 in words is "two hundred four trillion, two hundred twenty billion, one hundred thirty-four million, three hundred thirty-two thousand, one".

Divisors: 1 3 9 17 27 51 81 153 459 1377 149717 449151 990589 1347453 2545189 2971767 4042359 7635567 8915301 12127077 16840013 22906701 26745903 50520039 68720103 80237709 151560117 206160309 454680351 1364041053 148308013313 444924039939 1334772119817 2521236226321 4004316359451 7563708678963 12012949078353 22691126036889 68073378110667 204220134332001