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2073012300 = 22325217157863
BaseRepresentation
bin111101110001111…
…1010100001001100
312100110201221021100
41323203322201030
513221142343200
6541411503100
7102241212432
oct17343724114
95313657240
102073012300
11974185907
1249a2b7a90
1327062bcc8
14159462d52
15c1ed5d00
hex7b8fa84c

2073012300 has 216 divisors, whose sum is σ = 6931806336. Its totient is φ = 516372480.

The previous prime is 2073012289. The next prime is 2073012301. The reversal of 2073012300 is 32103702.

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

It is not an unprimeable number, because it can be changed into a prime (2073012301) 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 71 ways as a sum of consecutive naturals, for example, 2401669 + ... + 2402531.

It is an arithmetic number, because the mean of its divisors is an integer number (32091696).

Almost surely, 22073012300 is an apocalyptic number.

2073012300 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 2073012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3465903168).

2073012300 is an abundant number, since it is smaller than the sum of its proper divisors (4858794036).

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

2073012300 is a wasteful number, since it uses less digits than its factorization.

2073012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 2073012300 is about 45530.3448262804. The cubic root of 2073012300 is about 1275.0698001003.

The spelling of 2073012300 in words is "two billion, seventy-three million, twelve thousand, three hundred".