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201212430100 = 22521117192292473
BaseRepresentation
bin1011101101100100110…
…0100000011100010100
3201020100211200111220221
42323121030200130110
511244040340230400
6232234040404124
720352142302433
oct2733114403424
9636324614827
10201212430100
1178374197950
1232bb5776644
1315c88576336
149a4b12911a
155379b17c1a
hex2ed9320714

201212430100 has 288 divisors, whose sum is σ = 533422108800. Its totient is φ = 64928563200.

The previous prime is 201212430091. The next prime is 201212430103. The reversal of 201212430100 is 1034212102.

201212430100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201212430103) 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 95 ways as a sum of consecutive naturals, for example, 81362464 + ... + 81364936.

It is an arithmetic number, because the mean of its divisors is an integer number (1852160100).

Almost surely, 2201212430100 is an apocalyptic number.

201212430100 is a gapful number since it is divisible by the number (20) 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 201212430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266711054400).

201212430100 is an abundant number, since it is smaller than the sum of its proper divisors (332209678700).

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

201212430100 is a wasteful number, since it uses less digits than its factorization.

201212430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 201212430100 its reverse (1034212102), we get a palindrome (202246642202).

The spelling of 201212430100 in words is "two hundred one billion, two hundred twelve million, four hundred thirty thousand, one hundred".