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20230201300320 = 25325113141198683
BaseRepresentation
bin1001001100110001101011…
…11101100101010101100000
32122121222200111211012122200
410212120311331211111200
510122422423013102240
6111005343130533200
74155404150546064
oct446306575452540
978558614735580
1020230201300320
11649a642263170
1223288b9597200
13b399135b90cb
144dd20b3c7aa4
15251379948930
hex126635f65560

20230201300320 has 288 divisors, whose sum is σ = 77740927939584. Its totient is φ = 4746088166400.

The previous prime is 20230201300313. The next prime is 20230201300357. The reversal of 20230201300320 is 2300310203202.

It is a happy number.

20230201300320 is a `hidden beast` number, since 2 + 0 + 23 + 0 + 20 + 1 + 300 + 320 = 666.

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

It is a super-2 number, since 2×202302013003202 (a number of 27 digits) contains 22 as substring.

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 = 20230201300293 and 20230201300302.

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, 20108302 + ... + 21090381.

It is an arithmetic number, because the mean of its divisors is an integer number (269933777568).

Almost surely, 220230201300320 is an apocalyptic number.

20230201300320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20230201300320 is an abundant number, since it is smaller than the sum of its proper divisors (57510726639264).

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

20230201300320 is a wasteful number, since it uses less digits than its factorization.

20230201300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41198746 (or 41198735 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20230201300320 its reverse (2300310203202), we get a palindrome (22530511503522).

The spelling of 20230201300320 in words is "twenty trillion, two hundred thirty billion, two hundred one million, three hundred thousand, three hundred twenty".