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242211000000 = 2635680737
BaseRepresentation
bin1110000110010011100…
…1101000111011000000
3212011012002201122210210
43201210321220323000
512432022004000000
6303134210154120
723333133346644
oct3414471507300
9764162648723
10242211000000
11937a2882272
123ab37b82940
1319ac0484b58
14ba1a190c24
1564790ec350
hex3864e68ec0

242211000000 has 196 divisors, whose sum is σ = 801062090024. Its totient is φ = 64588800000.

The previous prime is 242210999993. The next prime is 242211000007. The reversal of 242211000000 is 112242.

It is an interprime number because it is at equal distance from previous prime (242210999993) and next prime (242211000007).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 242211000000.

It is not an unprimeable number, because it can be changed into a prime (242211000007) 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 27 ways as a sum of consecutive naturals, for example, 2959632 + ... + 3040368.

Almost surely, 2242211000000 is an apocalyptic number.

242211000000 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 242211000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400531045012).

242211000000 is an abundant number, since it is smaller than the sum of its proper divisors (558851090024).

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

242211000000 is an frugal number, since it uses more digits than its factorization.

242211000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80782 (or 80747 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 242211000000 its reverse (112242), we get a palindrome (242211112242).

The spelling of 242211000000 in words is "two hundred forty-two billion, two hundred eleven million", and thus it is an aban number.