Search a number
-
+
103223220303000 = 23353712373973639
BaseRepresentation
bin10111011110000110000111…
…011000001111010010011000
3111112111001011200222002201110
4113132012013120033102120
5102012202123344144000
61003312032012020320
730512426424520620
oct2736060730172230
9445431150862643
10103223220303000
112a9877a3923406
12b6b14277616a0
134579ba5899775
141b6c05da63880
15be0115cb2850
hex5de18760f498

103223220303000 has 256 divisors, whose sum is σ = 368362150041600. Its totient is φ = 23574799526400.

The previous prime is 103223220302981. The next prime is 103223220303019. The reversal of 103223220303000 is 303022322301.

It is an interprime number because it is at equal distance from previous prime (103223220302981) and next prime (103223220303019).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23990181 + ... + 27963819.

It is an arithmetic number, because the mean of its divisors is an integer number (1438914648600).

Almost surely, 2103223220303000 is an apocalyptic number.

103223220303000 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 103223220303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184181075020800).

103223220303000 is an abundant number, since it is smaller than the sum of its proper divisors (265138929738600).

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

103223220303000 is a wasteful number, since it uses less digits than its factorization.

103223220303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974907 (or 3974893 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 103223220303000 its reverse (303022322301), we get a palindrome (103526242625301).

The spelling of 103223220303000 in words is "one hundred three trillion, two hundred twenty-three billion, two hundred twenty million, three hundred three thousand".