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200231310312 = 2333112310335573
BaseRepresentation
bin1011101001111010110…
…1110101001111101000
3201010211110112110121000
42322132231311033220
511240033203412222
6231552431515000
720315630025045
oct2723655651750
9633743473530
10200231310312
1177a1039a050
1232981088a60
1315b60219997
149996ad41cc
15531d9159ac
hex2e9eb753e8

200231310312 has 256 divisors, whose sum is σ = 639307468800. Its totient is φ = 57472968960.

The previous prime is 200231310287. The next prime is 200231310319. The reversal of 200231310312 is 213013132002.

200231310312 is a `hidden beast` number, since 20 + 0 + 23 + 1 + 310 + 312 = 666.

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 (200231310319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5610958 + ... + 5646530.

It is an arithmetic number, because the mean of its divisors is an integer number (2497294800).

Almost surely, 2200231310312 is an apocalyptic number.

200231310312 is a gapful number since it is divisible by the number (22) 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 200231310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319653734400).

200231310312 is an abundant number, since it is smaller than the sum of its proper divisors (439076158488).

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

200231310312 is a wasteful number, since it uses less digits than its factorization.

200231310312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35725 (or 35715 counting only the distinct ones).

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

Adding to 200231310312 its reverse (213013132002), we get a palindrome (413244442314).

The spelling of 200231310312 in words is "two hundred billion, two hundred thirty-one million, three hundred ten thousand, three hundred twelve".