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2023032021120 = 2732511113282559
BaseRepresentation
bin11101011100000110000…
…110101110000010000000
321011101210120122202021100
4131130012012232002000
5231121132144133440
64145211301054400
7266105422311465
oct35340606560200
97141716582240
102023032021120
1170aa65921190
122880b13b7400
13118a04155436
146dcb571566c
1537955015230
hex1d7061ae080

2023032021120 has 384 divisors, whose sum is σ = 7688321971200. Its totient is φ = 486090178560.

The previous prime is 2023032021083. The next prime is 2023032021121. The reversal of 2023032021120 is 211202303202.

2023032021120 is a `hidden beast` number, since 2 + 0 + 230 + 320 + 2 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 2023032021093 and 2023032021102.

It is not an unprimeable number, because it can be changed into a prime (2023032021121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7018401 + ... + 7300959.

It is an arithmetic number, because the mean of its divisors is an integer number (20021671800).

Almost surely, 22023032021120 is an apocalyptic number.

2023032021120 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 2023032021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3844160985600).

2023032021120 is an abundant number, since it is smaller than the sum of its proper divisors (5665289950080).

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

2023032021120 is a wasteful number, since it uses less digits than its factorization.

2023032021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282708 (or 282693 counting only the distinct ones).

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

Adding to 2023032021120 its reverse (211202303202), we get a palindrome (2234234324322).

The spelling of 2023032021120 in words is "two trillion, twenty-three billion, thirty-two million, twenty-one thousand, one hundred twenty".