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12100222211 = 7114111873229
BaseRepresentation
bin10110100010011101…
…01011110100000011
31011020021200222101012
423101032223310003
5144240124102321
65320405431135
7605566122530
oct132116536403
934207628335
1012100222211
11514a295050
12241840b4ab
1311aab554cc
1482b069d87
154ac46b05b
hex2d13abd03

12100222211 has 32 divisors (see below), whose sum is σ = 15471751680. Its totient is φ = 9188179200.

The previous prime is 12100222207. The next prime is 12100222249. The reversal of 12100222211 is 11222200121.

12100222211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12100222211 - 22 = 12100222207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12100227211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3745745 + ... + 3748973.

It is an arithmetic number, because the mean of its divisors is an integer number (483492240).

Almost surely, 212100222211 is an apocalyptic number.

12100222211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12100222211 is a deficient number, since it is larger than the sum of its proper divisors (3371529469).

12100222211 is a wasteful number, since it uses less digits than its factorization.

12100222211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4475.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12100222211 its reverse (11222200121), we get a palindrome (23322422332).

The spelling of 12100222211 in words is "twelve billion, one hundred million, two hundred twenty-two thousand, two hundred eleven".

Divisors: 1 7 11 41 77 287 451 1187 3157 3229 8309 13057 22603 35519 48667 91399 132389 248633 340669 535337 926723 1456279 3747359 3832823 10193953 26829761 42161053 157145743 295127371 1100020201 1728603173 12100222211