Search a number
-
+
201022122100 = 22527327537277
BaseRepresentation
bin1011101100110111011…
…0100010100001110100
3201012212120120212102111
42323031312202201310
511243143130401400
6232203121420404
720344341562552
oct2731566424164
9635776525374
10201022122100
1178286824708
1232b61a9a704
1315c58003657
149a2db4abd2
1553680753ba
hex2ecdda2874

201022122100 has 36 divisors (see below), whose sum is σ = 442193610124. Its totient is φ = 79307354880.

The previous prime is 201022122097. The next prime is 201022122101. The reversal of 201022122100 is 1221220102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 28914961936 + 172107160164 = 170044^2 + 414858^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201022122101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13761339 + ... + 13775938.

Almost surely, 2201022122100 is an apocalyptic number.

201022122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201022122100 is an abundant number, since it is smaller than the sum of its proper divisors (241171488024).

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

201022122100 is a wasteful number, since it uses less digits than its factorization.

201022122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27537364 (or 27537357 counting only the distinct ones).

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

Adding to 201022122100 its reverse (1221220102), we get a palindrome (202243342202).

The spelling of 201022122100 in words is "two hundred one billion, twenty-two million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 7300 27537277 55074554 110149108 137686385 275372770 550745540 688431925 1376863850 2010221221 2753727700 4020442442 8040884884 10051106105 20102212210 40204424420 50255530525 100511061050 201022122100