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20400031300 = 22521121685953
BaseRepresentation
bin10010111111111011…
…111100011001000100
31221122201020222000211
4102333323330121010
5313234402000200
613212135245204
71321350255625
oct227773743104
957581228024
1020400031300
118719316500
123b53b19804
131c0152a54c
14db7497a4c
157e5e38aba
hex4bfefc644

20400031300 has 54 divisors (see below), whose sum is σ = 48658318394. Its totient is φ = 7418188800.

The previous prime is 20400031277. The next prime is 20400031307. The reversal of 20400031300 is 313000402.

It can be written as a sum of positive squares in 3 ways, for example, as 4872877636 + 15527153664 = 69806^2 + 124608^2 .

It is a super-2 number, since 2×204000313002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20400031307) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 830877 + ... + 855076.

Almost surely, 220400031300 is an apocalyptic number.

20400031300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20400031300 is an abundant number, since it is smaller than the sum of its proper divisors (28258287094).

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

20400031300 is a wasteful number, since it uses less digits than its factorization.

20400031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685989 (or 1685971 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 20400031300 its reverse (313000402), we get a palindrome (20713031702).

The spelling of 20400031300 in words is "twenty billion, four hundred million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 1685953 3371906 6743812 8429765 16859530 18545483 33719060 37090966 42148825 74181932 84297650 92727415 168595300 185454830 204000313 370909660 408000626 463637075 816001252 927274150 1020001565 1854548300 2040003130 4080006260 5100007825 10200015650 20400031300