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203321069952 = 2737111331113151
BaseRepresentation
bin1011110101011011100…
…0010101000110000000
3201102210210110112000020
42331112320111012000
511312400143214302
6233223204053440
720455325402460
oct2752670250600
9642723415006
10203321069952
1179256497210
12334a3994280
131623339a920
149bab1c3ba0
15544ecd9ebc
hex2f56e15180

203321069952 has 1024 divisors, whose sum is σ = 760147476480. Its totient is φ = 46448640000.

The previous prime is 203321069947. The next prime is 203321070041. The reversal of 203321069952 is 259960123302.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1346497077 + ... + 1346497227.

It is an arithmetic number, because the mean of its divisors is an integer number (742331520).

Almost surely, 2203321069952 is an apocalyptic number.

203321069952 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 203321069952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380073738240).

203321069952 is an abundant number, since it is smaller than the sum of its proper divisors (556826406528).

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

203321069952 is a wasteful number, since it uses less digits than its factorization.

203321069952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 203321069952 in words is "two hundred three billion, three hundred twenty-one million, sixty-nine thousand, nine hundred fifty-two".