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201012222100 = 22522753730157
BaseRepresentation
bin1011101100110101000…
…0110001100010010100
3201012211212221220011211
42323031100301202110
511243133112101400
6232202125311204
720344161460564
oct2731520614224
9635755856154
10201012222100
1178281182698
1232b5a705504
1315c55c48471
149a2c6d0da4
15536726bdba
hex2ecd431894

201012222100 has 36 divisors (see below), whose sum is σ = 436355563644. Its totient is φ = 80375572480.

The previous prime is 201012222091. The next prime is 201012222127. The reversal of 201012222100 is 1222210102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 42165336964 + 158846885136 = 205342^2 + 398556^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 89779 + ... + 640378.

It is an arithmetic number, because the mean of its divisors is an integer number (12120987879).

Almost surely, 2201012222100 is an apocalyptic number.

201012222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012222100 is an abundant number, since it is smaller than the sum of its proper divisors (235343341544).

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

201012222100 is a wasteful number, since it uses less digits than its factorization.

201012222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732924 (or 732917 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 201012222100 its reverse (1222210102), we get a palindrome (202234432202).

The spelling of 201012222100 in words is "two hundred one billion, twelve million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2753 5506 11012 13765 27530 55060 68825 137650 275300 730157 1460314 2920628 3650785 7301570 14603140 18253925 36507850 73015700 2010122221 4020244442 8040488884 10050611105 20101222210 40202444420 50253055525 100506111050 201012222100