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20330222100000 = 25355232946409
BaseRepresentation
bin1001001111101011111111…
…01010101001111000100000
32122222112212010121021200220
410213311333222221320200
510131042243324200000
6111123324115443040
74165544566404051
oct447657752517040
978875763537626
1020330222100000
116528aa940538a
1223441722b6480
13b461934cbc47
14503db9100728
15253c808e11a0
hex127d7faa9e20

20330222100000 has 288 divisors, whose sum is σ = 69604481278080. Its totient is φ = 5185678080000.

The previous prime is 20330222099983. The next prime is 20330222100017. The reversal of 20330222100000 is 122203302.

It is an interprime number because it is at equal distance from previous prime (20330222099983) and next prime (20330222100017).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 5426796 + ... + 8373204.

It is an arithmetic number, because the mean of its divisors is an integer number (241682226660).

Almost surely, 220330222100000 is an apocalyptic number.

20330222100000 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 20330222100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34802240639040).

20330222100000 is an abundant number, since it is smaller than the sum of its proper divisors (49274259178080).

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

20330222100000 is an equidigital number, since it uses as much as digits as its factorization.

20330222100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946470 (or 2946442 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20330222100000 its reverse (122203302), we get a palindrome (20330344303302).

The spelling of 20330222100000 in words is "twenty trillion, three hundred thirty billion, two hundred twenty-two million, one hundred thousand".