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103021311000120 = 233537179251516437
BaseRepresentation
bin10111011011001010000100…
…101001010111111000111000
3111111202202000021222210001120
4113123022010221113320320
5102000400121104000440
61003035200434545240
730462021061000122
oct2733120451277070
9444682007883046
10103021311000120
112a90a102332747
12b67a278738220
134563b38b3a596
141b62388176212
15bd9c49de3dd0
hex5db284a57e38

103021311000120 has 256 divisors, whose sum is σ = 320462586662400. Its totient is φ = 26474575104000.

The previous prime is 103021311000077. The next prime is 103021311000131. The reversal of 103021311000120 is 21000113120301.

It is a happy number.

103021311000120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1030213110001202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103021311000120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199226542 + ... + 199742978.

It is an arithmetic number, because the mean of its divisors is an integer number (1251806979150).

Almost surely, 2103021311000120 is an apocalyptic number.

103021311000120 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 103021311000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160231293331200).

103021311000120 is an abundant number, since it is smaller than the sum of its proper divisors (217441275662280).

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

103021311000120 is a wasteful number, since it uses less digits than its factorization.

103021311000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516918 (or 516914 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 103021311000120 its reverse (21000113120301), we get a palindrome (124021424120421).

The spelling of 103021311000120 in words is "one hundred three trillion, twenty-one billion, three hundred eleven million, one hundred twenty", and thus it is an aban number.