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12201010101 = 337312082439
BaseRepresentation
bin10110101110011110…
…01010001110110101
31011111022100112101000
423113033022032311
5144441424310401
65334405553513
7611231606010
oct132717121665
934438315330
1012201010101
1151a1174525
122446115899
1311c59b3807
1483a5c4377
154b6229186
hex2d73ca3b5

12201010101 has 32 divisors (see below), whose sum is σ = 21324185600. Its totient is φ = 6747099120.

The previous prime is 12201010057. The next prime is 12201010111. The reversal of 12201010101 is 10101010221.

It is a happy number.

It is not a de Polignac number, because 12201010101 - 217 = 12200879029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

12201010101 is a modest number, since divided by 1010101 gives 122 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201010111) 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, 1035361 + ... + 1047078.

It is an arithmetic number, because the mean of its divisors is an integer number (666380800).

Almost surely, 212201010101 is an apocalyptic number.

It is an amenable number.

12201010101 is a deficient number, since it is larger than the sum of its proper divisors (9123175499).

12201010101 is a wasteful number, since it uses less digits than its factorization.

12201010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082486 (or 2082480 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12201010101 its reverse (10101010221), we get a palindrome (22302020322).

The spelling of 12201010101 in words is "twelve billion, two hundred one million, ten thousand, one hundred one".

Divisors: 1 3 7 9 21 27 31 63 93 189 217 279 651 837 1953 5859 2082439 6247317 14577073 18741951 43731219 56225853 64555609 131193657 193666827 393580971 451889263 581000481 1355667789 1743001443 4067003367 12201010101