Base | Representation |
---|---|
bin | 1011110000101000000… |
… | …0010011000011100000 |
3 | 201022110220120002020200 |
4 | 2330022000103003200 |
5 | 11302230004004440 |
6 | 232451212105200 |
7 | 20411344553460 |
oct | 2741200230340 |
9 | 638426502220 |
10 | 202031313120 |
11 | 7875445587a |
12 | 331a3a65200 |
13 | 1608910b0c0 |
14 | 9ac7babba0 |
15 | 53c696ec30 |
hex | 2f0a0130e0 |
202031313120 has 576 divisors, whose sum is σ = 871485713280. Its totient is φ = 41473327104.
The previous prime is 202031313101. The next prime is 202031313139. The reversal of 202031313120 is 21313130202.
202031313120 is a `hidden beast` number, since 20 + 20 + 313 + 1 + 312 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (202031313101) and next prime (202031313139).
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 = 202031313093 and 202031313102.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4827646 + ... + 4869314.
It is an arithmetic number, because the mean of its divisors is an integer number (1512996030).
Almost surely, 2202031313120 is an apocalyptic number.
202031313120 is a gapful number since it is divisible by the number (20) 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 202031313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435742856640).
202031313120 is an abundant number, since it is smaller than the sum of its proper divisors (669454400160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202031313120 is a wasteful number, since it uses less digits than its factorization.
202031313120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 41747 (or 41736 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 202031313120 its reverse (21313130202), we get a palindrome (223344443322).
The spelling of 202031313120 in words is "two hundred two billion, thirty-one million, three hundred thirteen thousand, one hundred twenty".
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