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12222222100 = 225211273101137
BaseRepresentation
bin10110110001000000…
…00100111100010100
31011112210021012202121
423120200010330110
5200012342101400
65340444345324
7611610113404
oct133040047424
934483235677
1012222222100
115202142400
122451245244
1311ca1cc7aa
1483d346804
154b801921a
hex2d8804f14

12222222100 has 216 divisors, whose sum is σ = 30062310264. Its totient is φ = 4308480000.

The previous prime is 12222222091. The next prime is 12222222101. The reversal of 12222222100 is 122222221.

It can be written as a sum of positive squares in 12 ways, for example, as 324648324 + 11897573776 = 18018^2 + 109076^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222222101) 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 71 ways as a sum of consecutive naturals, for example, 89213232 + ... + 89213368.

Almost surely, 212222222100 is an apocalyptic number.

12222222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12222222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15031155132).

12222222100 is an abundant number, since it is smaller than the sum of its proper divisors (17840088164).

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

12222222100 is a wasteful number, since it uses less digits than its factorization.

12222222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12222222100 its reverse (122222221), we get a palindrome (12344444321).

12222222100 divided by its reverse (122222221) gives a square (100 = 102).

It can be divided in two parts, 122 and 22222100, that added together give a palindrome (22222222).

The spelling of 12222222100 in words is "twelve billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred".