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20403311220 = 22325113351729
BaseRepresentation
bin10011000000001000…
…011101001001110100
31221122221102121020100
4103000020131021310
5313241221424340
613212333434100
71321420166235
oct230010351164
957587377210
1020403311220
118720156786
123b5503b930
131c02108426
14db7aad08c
157e6385830
hex4c021d274

20403311220 has 36 divisors (see below), whose sum is σ = 61890044580. Its totient is φ = 5440882944.

The previous prime is 20403311219. The next prime is 20403311221. The reversal of 20403311220 is 2211330402.

It is an interprime number because it is at equal distance from previous prime (20403311219) and next prime (20403311221).

It can be written as a sum of positive squares in 2 ways, for example, as 15729674724 + 4673636496 = 125418^2 + 68364^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 20403311193 and 20403311202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20403311221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56675685 + ... + 56676044.

It is an arithmetic number, because the mean of its divisors is an integer number (1719167905).

Almost surely, 220403311220 is an apocalyptic number.

20403311220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20403311220 is an abundant number, since it is smaller than the sum of its proper divisors (41486733360).

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

20403311220 is a wasteful number, since it uses less digits than its factorization.

20403311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113351744 (or 113351739 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20403311220 its reverse (2211330402), we get a palindrome (22614641622).

The spelling of 20403311220 in words is "twenty billion, four hundred three million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 113351729 226703458 340055187 453406916 566758645 680110374 1020165561 1133517290 1360220748 1700275935 2040331122 2267034580 3400551870 4080662244 5100827805 6801103740 10201655610 20403311220