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41211342200 = 23527217214551
BaseRepresentation
bin100110011000011000…
…110010110101111000
310221101002102002121102
4212120120302311320
51133400100422300
630533210030532
72656153425500
oct463030626570
9127332362542
1041211342200
11165288013a6
127ba1718448
133b6a0184b2
141dcd410a00
1511130130d5
hex998632d78

41211342200 has 216 divisors, whose sum is σ = 118410133320. Its totient is φ = 13297536000.

The previous prime is 41211342173. The next prime is 41211342233. The reversal of 41211342200 is 224311214.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 53 ways as a sum of consecutive naturals, for example, 2824925 + ... + 2839475.

Almost surely, 241211342200 is an apocalyptic number.

41211342200 is a gapful number since it is divisible by the number (40) 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 41211342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59205066660).

41211342200 is an abundant number, since it is smaller than the sum of its proper divisors (77198791120).

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

41211342200 is a wasteful number, since it uses less digits than its factorization.

41211342200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14615 (or 14582 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 41211342200 its reverse (224311214), we get a palindrome (41435653414).

The spelling of 41211342200 in words is "forty-one billion, two hundred eleven million, three hundred forty-two thousand, two hundred".