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606105010100 = 22526061050101
BaseRepresentation
bin10001101000111101010…
…11000111111110110100
32010221110111111200221102
420310132223013332310
534412300340310400
61142235113505232
761534563403202
oct10643653077664
92127414450842
10606105010100
11214058527a97
1299573412218
1345203702315
142149adca072
1510b75ce99d5
hex8d1eac7fb4

606105010100 has 18 divisors (see below), whose sum is σ = 1315247872134. Its totient is φ = 242442004000.

The previous prime is 606105010087. The next prime is 606105010109. The reversal of 606105010100 is 1010501606.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 19526708644 + 586578301456 = 139738^2 + 765884^2 .

It is a super-2 number, since 2×6061050101002 (a number of 24 digits) contains 22 as substring.

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 (606105010109) 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 5 ways as a sum of consecutive naturals, for example, 3030524951 + ... + 3030525150.

Almost surely, 2606105010100 is an apocalyptic number.

It is an amenable number.

606105010100 is an abundant number, since it is smaller than the sum of its proper divisors (709142862034).

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

606105010100 is a wasteful number, since it uses less digits than its factorization.

606105010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6061050115 (or 6061050108 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 606105010100 its reverse (1010501606), we get a palindrome (607115511706).

The spelling of 606105010100 in words is "six hundred six billion, one hundred five million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 6061050101 12122100202 24244200404 30305250505 60610501010 121221002020 151526252525 303052505050 606105010100