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12100211201 = 131873496949
BaseRepresentation
bin10110100010011101…
…01001001000000001
31011020021200102021102
423101032221020001
5144240123224301
65320405304145
7605566045451
oct132116511001
934207612242
1012100211201
11514a287851
122418405055
1311aab504b0
1482b065d61
154ac467b6b
hex2d13a9201

12100211201 has 8 divisors (see below), whose sum is σ = 13037980200. Its totient is φ = 11163439872.

The previous prime is 12100211143. The next prime is 12100211219. The reversal of 12100211201 is 10211200121.

It can be written as a sum of positive squares in 4 ways, for example, as 148474225 + 11951736976 = 12185^2 + 109324^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-12100211201 is a prime.

It is a super-2 number, since 2×121002112012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12100210201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224126 + ... + 272823.

It is an arithmetic number, because the mean of its divisors is an integer number (1629747525).

Almost surely, 212100211201 is an apocalyptic number.

It is an amenable number.

12100211201 is a deficient number, since it is larger than the sum of its proper divisors (937768999).

12100211201 is a wasteful number, since it uses less digits than its factorization.

12100211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498835.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12100211201 its reverse (10211200121), we get a palindrome (22311411322).

The spelling of 12100211201 in words is "twelve billion, one hundred million, two hundred eleven thousand, two hundred one".

Divisors: 1 13 1873 24349 496949 6460337 930785477 12100211201