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20040103320 = 23351923401953
BaseRepresentation
bin10010101010011110…
…111011010110011000
31220201121222201122220
4102222132323112120
5312020231301240
613112320544040
71306420032126
oct225236732630
956647881586
1020040103320
118554130266
123a73482020
131b74aa9503
14d81764916
157c453d5d0
hex4aa7bb598

20040103320 has 256 divisors, whose sum is σ = 66270182400. Its totient is φ = 4825497600.

The previous prime is 20040103313. The next prime is 20040103327. The reversal of 20040103320 is 2330104002.

It is an interprime number because it is at equal distance from previous prime (20040103313) and next prime (20040103327).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20040103320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20040103327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21027964 + ... + 21028916.

It is an arithmetic number, because the mean of its divisors is an integer number (258867900).

Almost surely, 220040103320 is an apocalyptic number.

20040103320 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 20040103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33135091200).

20040103320 is an abundant number, since it is smaller than the sum of its proper divisors (46230079080).

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

20040103320 is a wasteful number, since it uses less digits than its factorization.

20040103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1406 counting only the distinct ones).

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

Adding to 20040103320 its reverse (2330104002), we get a palindrome (22370207322).

The spelling of 20040103320 in words is "twenty billion, forty million, one hundred three thousand, three hundred twenty".