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202323134000 = 245313192317807
BaseRepresentation
bin1011110001101101100…
…1100000011000110000
3201100020020200010020102
42330123121200120300
511303324210242000
6232540154531532
720421520156301
oct2743331403060
9640206603212
10202323134000
1178894153159
1233265736ba8
1316104704090
149b148527a8
1553e23b53d5
hex2f1b660630

202323134000 has 320 divisors, whose sum is σ = 578722959360. Its totient is φ = 67691289600.

The previous prime is 202323133973. The next prime is 202323134021. The reversal of 202323134000 is 431323202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 11353097 + ... + 11370903.

It is an arithmetic number, because the mean of its divisors is an integer number (1808509248).

Almost surely, 2202323134000 is an apocalyptic number.

202323134000 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 202323134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289361479680).

202323134000 is an abundant number, since it is smaller than the sum of its proper divisors (376399825360).

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

202323134000 is a wasteful number, since it uses less digits than its factorization.

202323134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17885 (or 17869 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 202323134000 its reverse (431323202), we get a palindrome (202754457202).

The spelling of 202323134000 in words is "two hundred two billion, three hundred twenty-three million, one hundred thirty-four thousand".