Search a number
-
+
20033010121320 = 23325715715060221
BaseRepresentation
bin1001000111000010011000…
…11100111011101001101000
32121221010200220211102012200
410203201030130323221220
510111210101042340240
6110335012055340200
74135223444306430
oct443411434735150
977833626742180
1020033010121320
116423a51a54839
1222b6646681660
13b241491951c1
144d38623852c0
1524b187da2930
hex12384c73ba68

20033010121320 has 192 divisors, whose sum is σ = 74455701690240. Its totient is φ = 4576058150400.

The previous prime is 20033010121277. The next prime is 20033010121331. The reversal of 20033010121320 is 2312101033002.

20033010121320 is a `hidden beast` number, since 2 + 0 + 0 + 330 + 1 + 0 + 12 + 1 + 320 = 666.

It is a super-2 number, since 2×200330101213202 (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 = 20033010121293 and 20033010121302.

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, 1428810 + ... + 6489030.

It is an arithmetic number, because the mean of its divisors is an integer number (387790112970).

Almost surely, 220033010121320 is an apocalyptic number.

20033010121320 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 20033010121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37227850845120).

20033010121320 is an abundant number, since it is smaller than the sum of its proper divisors (54422691568920).

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

20033010121320 is a wasteful number, since it uses less digits than its factorization.

20033010121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5061816 (or 5061809 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20033010121320 its reverse (2312101033002), we get a palindrome (22345111154322).

The spelling of 20033010121320 in words is "twenty trillion, thirty-three billion, ten million, one hundred twenty-one thousand, three hundred twenty".