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202023112032 = 253272910134213
BaseRepresentation
bin1011110000100110000…
…1000000110101100000
3201022110100010102110200
42330021201000311200
511302220404041112
6232450320225200
720411215055550
oct2741141006540
9638410112420
10202023112032
117874a864215
12331a116b200
13160874c92a1
149ac6a75160
1553c5d9ecdc
hex2f09840d60

202023112032 has 288 divisors, whose sum is σ = 685960591680. Its totient is φ = 55177113600.

The previous prime is 202023112009. The next prime is 202023112051. The reversal of 202023112032 is 230211320202.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 202023111996 and 202023112014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5887758 + ... + 5921970.

It is an arithmetic number, because the mean of its divisors is an integer number (2381807610).

Almost surely, 2202023112032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202023112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342980295840).

202023112032 is an abundant number, since it is smaller than the sum of its proper divisors (483937479648).

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

202023112032 is a wasteful number, since it uses less digits than its factorization.

202023112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34366 (or 34355 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 202023112032 its reverse (230211320202), we get a palindrome (432234432234).

The spelling of 202023112032 in words is "two hundred two billion, twenty-three million, one hundred twelve thousand, thirty-two".