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203320212133131 = 33371791137004111
BaseRepresentation
bin101110001110101100101101…
…000001010001010100001011
3222122220020000011112002222000
4232032230231001101110023
5203122144243301230011
62000232003242202043
760553254252641142
oct5616545501212413
9878806004462860
10203320212133131
1159869688225085
121a97899b7b3323
13895b02423a072
14382ca721a4759
151878c5a662356
hexb8eb2d05150b

203320212133131 has 32 divisors (see below), whose sum is σ = 311084325043200. Its totient is φ = 131146602063840.

The previous prime is 203320212133043. The next prime is 203320212133133. The reversal of 203320212133131 is 131331212023302.

203320212133131 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 202 + 121 + 331 + 3 + 1 = 666.

It is not a de Polignac number, because 203320212133131 - 29 = 203320212132619 is a prime.

It is a super-2 number, since 2×2033202121331312 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 203320212133095 and 203320212133104.

It is not an unprimeable number, because it can be changed into a prime (203320212133133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 568323235 + ... + 568680876.

It is an arithmetic number, because the mean of its divisors is an integer number (9721385157600).

Almost surely, 2203320212133131 is an apocalyptic number.

203320212133131 is a deficient number, since it is larger than the sum of its proper divisors (107764112910069).

203320212133131 is a wasteful number, since it uses less digits than its factorization.

203320212133131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137004336 (or 1137004330 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 203320212133131 its reverse (131331212023302), we get a palindrome (334651424156433).

The spelling of 203320212133131 in words is "two hundred three trillion, three hundred twenty billion, two hundred twelve million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 27 37 111 179 333 537 999 1611 4833 6623 19869 59607 178821 1137004111 3411012333 10233036999 30699110997 42069152107 126207456321 203523735869 378622368963 610571207607 1135867106889 1831713622821 5495140868463 7530378227153 22591134681459 67773404044377 203320212133131