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5313221100 = 22325211717559
BaseRepresentation
bin1001111001011000…
…10101000111101100
3111201021202121010200
410330230111013230
541340141033400
62235120433500
7245444430345
oct47454250754
914637677120
105313221100
1122871a1720
121043478890
13668a08415
143859170cc
152116c7b00
hex13cb151ec

5313221100 has 216 divisors, whose sum is σ = 18426320640. Its totient is φ = 1269744000.

The previous prime is 5313221093. The next prime is 5313221107. The reversal of 5313221100 is 11223135.

5313221100 is a `hidden beast` number, since 531 + 3 + 22 + 110 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5313221093) and next prime (5313221107).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5313221107) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 699121 + ... + 706679.

It is an arithmetic number, because the mean of its divisors is an integer number (85307040).

Almost surely, 25313221100 is an apocalyptic number.

5313221100 is a gapful number since it is divisible by the number (50) 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 5313221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9213160320).

5313221100 is an abundant number, since it is smaller than the sum of its proper divisors (13113099540).

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

5313221100 is a wasteful number, since it uses less digits than its factorization.

5313221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7661 (or 7651 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5313221100 is about 72891.8452229054. The cubic root of 5313221100 is about 1744.9619562426.

Adding to 5313221100 its reverse (11223135), we get a palindrome (5324444235).

The spelling of 5313221100 in words is "five billion, three hundred thirteen million, two hundred twenty-one thousand, one hundred".