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12110220010100 = 2252157771351593
BaseRepresentation
bin1011000000111010000101…
…0111001010001001110100
31120212201121001110202021202
42300032201113022021310
53041403212310310400
641431205215232032
72356635353440562
oct260164127121164
946781531422252
1012110220010100
113949a08534843
121437060218618
1369acb165b984
142dc1d00b2a32
151600344c64d5
hexb03a15ca274

12110220010100 has 36 divisors (see below), whose sum is σ = 26446560751884. Its totient is φ = 4813233934080.

The previous prime is 12110220010069. The next prime is 12110220010103. The reversal of 12110220010100 is 101002201121.

It can be written as a sum of positive squares in 6 ways, for example, as 73053440656 + 12037166569444 = 270284^2 + 3469462^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110220010103) 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 11 ways as a sum of consecutive naturals, for example, 385660097 + ... + 385691496.

Almost surely, 212110220010100 is an apocalyptic number.

12110220010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12110220010100 is an abundant number, since it is smaller than the sum of its proper divisors (14336340741784).

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

12110220010100 is a wasteful number, since it uses less digits than its factorization.

12110220010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771351764 (or 771351757 counting only the distinct ones).

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

Adding to 12110220010100 its reverse (101002201121), we get a palindrome (12211222211221).

The spelling of 12110220010100 in words is "twelve trillion, one hundred ten billion, two hundred twenty million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 785 1570 3140 3925 7850 15700 771351593 1542703186 3085406372 3856757965 7713515930 15427031860 19283789825 38567579650 77135159300 121102200101 242204400202 484408800404 605511000505 1211022001010 2422044002020 3027555002525 6055110005050 12110220010100