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10403314220 = 225131743127431
BaseRepresentation
bin10011011000001010…
…11111101000101100
3222212000200010020002
421230011133220230
5132301222023340
64440151043432
7515542466105
oct115405375054
928760603202
1010403314220
114459443a52
122024070578
13c9a41c440
1470994b3ac
1540d4c8715
hex26c15fa2c

10403314220 has 192 divisors, whose sum is σ = 25751126016. Its totient is φ = 3495260160.

The previous prime is 10403314199. The next prime is 10403314247. The reversal of 10403314220 is 2241330401.

10403314220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10403314192 and 10403314201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24137405 + ... + 24137835.

It is an arithmetic number, because the mean of its divisors is an integer number (134120448).

Almost surely, 210403314220 is an apocalyptic number.

10403314220 is a gapful number since it is divisible by the number (10) 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 10403314220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12875563008).

10403314220 is an abundant number, since it is smaller than the sum of its proper divisors (15347811796).

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

10403314220 is a wasteful number, since it uses less digits than its factorization.

10403314220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10403314220 its reverse (2241330401), we get a palindrome (12644644621).

The spelling of 10403314220 in words is "ten billion, four hundred three million, three hundred fourteen thousand, two hundred twenty".