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211432242100 = 22522299232849
BaseRepresentation
bin1100010011101001010…
…1111111101110110100
3202012202002001202102111
43010322111333232310
511431003123221400
6241044114420404
721163326255622
oct3047225775664
9665662052374
10211432242100
1181738a96972
1234b88291704
1316c26966781
14a33a54a512
155776e453ba
hex313a57fbb4

211432242100 has 36 divisors (see below), whose sum is σ = 460811543500. Its totient is φ = 84203573760.

The previous prime is 211432242097. The next prime is 211432242137. The reversal of 211432242100 is 1242234112.

It can be written as a sum of positive squares in 6 ways, for example, as 21290895396 + 190141346704 = 145914^2 + 436052^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4593525 + ... + 4639324.

Almost surely, 2211432242100 is an apocalyptic number.

211432242100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211432242100 is an abundant number, since it is smaller than the sum of its proper divisors (249379301400).

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

211432242100 is a wasteful number, since it uses less digits than its factorization.

211432242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9233092 (or 9233085 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 211432242100 its reverse (1242234112), we get a palindrome (212674476212).

The spelling of 211432242100 in words is "two hundred eleven billion, four hundred thirty-two million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 229 458 916 1145 2290 4580 5725 11450 22900 9232849 18465698 36931396 46164245 92328490 184656980 230821225 461642450 923284900 2114322421 4228644842 8457289684 10571612105 21143224210 42286448420 52858060525 105716121050 211432242100