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41313322100 = 2252413133221
BaseRepresentation
bin100110011110011101…
…110100010001110100
310221122012022012201202
4212132131310101310
51134102202301400
630551251512032
72661532305131
oct463635642164
9127565265652
1041313322100
1116580325406
12800b8b8618
133b851a322b
141ddcb99588
15111be594d5
hex99e774474

41313322100 has 18 divisors (see below), whose sum is σ = 89649909174. Its totient is φ = 16525328800.

The previous prime is 41313322097. The next prime is 41313322109. The reversal of 41313322100 is 122331314.

It can be written as a sum of positive squares in 3 ways, for example, as 5227000804 + 36086321296 = 72298^2 + 189964^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41313322109) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 206566511 + ... + 206566710.

Almost surely, 241313322100 is an apocalyptic number.

It is an amenable number.

41313322100 is an abundant number, since it is smaller than the sum of its proper divisors (48336587074).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41313322100 is a wasteful number, since it uses less digits than its factorization.

41313322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413133235 (or 413133228 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 41313322100 its reverse (122331314), we get a palindrome (41435653414).

The spelling of 41313322100 in words is "forty-one billion, three hundred thirteen million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 413133221 826266442 1652532884 2065666105 4131332210 8262664420 10328330525 20656661050 41313322100