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202123020000 = 2535411306247
BaseRepresentation
bin1011110000111101111…
…0001000011011100000
3201022201022010021102210
42330033132020123200
511302421443120000
6232504245442120
720413540215456
oct2741736103340
9638638107383
10202123020000
11787a11a2590
123320a710340
13160a2109c25
149ad60409d6
1553cea37350
hex2f0f7886e0

202123020000 has 240 divisors, whose sum is σ = 723279376512. Its totient is φ = 48999360000.

The previous prime is 202123019999. The next prime is 202123020013. The reversal of 202123020000 is 20321202.

202123020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 506877 + ... + 813123.

Almost surely, 2202123020000 is an apocalyptic number.

202123020000 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 202123020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361639688256).

202123020000 is an abundant number, since it is smaller than the sum of its proper divisors (521156356512).

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

202123020000 is a wasteful number, since it uses less digits than its factorization.

202123020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306291 (or 306268 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 202123020000 its reverse (20321202), we get a palindrome (202143341202).

The spelling of 202123020000 in words is "two hundred two billion, one hundred twenty-three million, twenty thousand".