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110001011012200 = 2352711172335933041
BaseRepresentation
bin11001000000101110011011…
…001011111011001001101000
3112102110222211120221112010101
4121000232123023323021220
5103404224032304342300
61025541433345155144
732112211412134150
oct3100563313731150
9472428746845111
10110001011012200
1132060191aa5670
1210406b2402bab4
13494c087895b29
141d24112317760
15cab5a336bb6a
hex640b9b2fb268

110001011012200 has 768 divisors, whose sum is σ = 339749012528640. Its totient is φ = 32065978368000.

The previous prime is 110001011012173. The next prime is 110001011012227. The reversal of 110001011012200 is 2210110100011.

It is an interprime number because it is at equal distance from previous prime (110001011012173) and next prime (110001011012227).

It is a super-2 number, since 2×1100010110122002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 191 ways as a sum of consecutive naturals, for example, 36172642680 + ... + 36172645720.

It is an arithmetic number, because the mean of its divisors is an integer number (442381526730).

Almost surely, 2110001011012200 is an apocalyptic number.

110001011012200 is a gapful number since it is divisible by the number (10) 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 110001011012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169874506264320).

110001011012200 is an abundant number, since it is smaller than the sum of its proper divisors (229748001516440).

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

110001011012200 is a wasteful number, since it uses less digits than its factorization.

110001011012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3918 (or 3909 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110001011012200 its reverse (2210110100011), we get a palindrome (112211121112211).

The spelling of 110001011012200 in words is "one hundred ten trillion, one billion, eleven million, twelve thousand, two hundred".