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10213203003120 = 24325134241257287
BaseRepresentation
bin1001010010011111001001…
…0101100100011011110000
31100011101001200021222201100
42110213302111210123300
52314313114432044440
633415514121204400
72102610456101625
oct224476225443360
940141050258640
1010213203003120
113288438923947
12118b479030700
13591140915580
1427447090034c
1512aa07568230
hex949f25646f0

10213203003120 has 240 divisors, whose sum is σ = 36946604140992. Its totient is φ = 2513416642560.

The previous prime is 10213203003119. The next prime is 10213203003127. The reversal of 10213203003120 is 2130030231201.

10213203003120 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 320 + 30 + 0 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10213203003093 and 10213203003102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213203003127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39567117 + ... + 39824403.

Almost surely, 210213203003120 is an apocalyptic number.

10213203003120 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 10213203003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18473302070496).

10213203003120 is an abundant number, since it is smaller than the sum of its proper divisors (26733401137872).

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

10213203003120 is a wasteful number, since it uses less digits than its factorization.

10213203003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261560 (or 261551 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10213203003120 its reverse (2130030231201), we get a palindrome (12343233234321).

The spelling of 10213203003120 in words is "ten trillion, two hundred thirteen billion, two hundred three million, three thousand, one hundred twenty".