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12200010101 = 174767349653
BaseRepresentation
bin10110101110010110…
…10110000101110101
31011111020110201121222
423113023112011311
5144441200310401
65334332320125
7611220242366
oct132713260565
934436421558
1012200010101
1151a0651184
122445913045
1311c57235b6
1483a403b6d
154b60ccc1b
hex2d72d6175

12200010101 has 32 divisors (see below), whose sum is σ = 13448332800. Its totient is φ = 11021700096.

The previous prime is 12200010089. The next prime is 12200010107. The reversal of 12200010101 is 10101000221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12200010101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200010107) 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 31 ways as a sum of consecutive naturals, for example, 18682691 + ... + 18683343.

It is an arithmetic number, because the mean of its divisors is an integer number (420260400).

Almost surely, 212200010101 is an apocalyptic number.

It is an amenable number.

12200010101 is a deficient number, since it is larger than the sum of its proper divisors (1248322699).

12200010101 is a wasteful number, since it uses less digits than its factorization.

12200010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12200010101 its reverse (10101000221), we get a palindrome (22301010322).

The spelling of 12200010101 in words is "twelve billion, two hundred million, ten thousand, one hundred one".

Divisors: 1 17 47 67 349 653 799 1139 3149 5933 11101 16403 23383 30691 43751 53533 227897 278851 397511 521747 743767 1099001 2056297 3874249 10711159 15269099 18683017 34957049 182089703 259574683 717647653 12200010101