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103211100000 = 253255114679
BaseRepresentation
bin110000000011111011…
…1000110011101100000
3100212101221220010100100
41200013313012131200
53142334020200000
6115225312022400
710312444606041
oct1400767063540
9325357803310
10103211100000
113a853a80058
1218005231a00
13996ab66708
144dd16d88c8
152a410cba00
hex1807dc6760

103211100000 has 216 divisors, whose sum is σ = 366862925520. Its totient is φ = 27522720000.

The previous prime is 103211099989. The next prime is 103211100001. The reversal of 103211100000 is 1112301.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103211100001) 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 35 ways as a sum of consecutive naturals, for example, 842661 + ... + 957339.

It is an arithmetic number, because the mean of its divisors is an integer number (1698439470).

Almost surely, 2103211100000 is an apocalyptic number.

103211100000 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 103211100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183431462760).

103211100000 is an abundant number, since it is smaller than the sum of its proper divisors (263651825520).

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

103211100000 is an equidigital number, since it uses as much as digits as its factorization.

103211100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114720 (or 114689 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 103211100000 its reverse (1112301), we get a palindrome (103212212301).

The spelling of 103211100000 in words is "one hundred three billion, two hundred eleven million, one hundred thousand".