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20303403311400 = 233521197157202001
BaseRepresentation
bin1001001110111010000010…
…01001000110000100101000
32122212222122002022122222020
410213131001021012010220
510130122332221431100
6111103131004024440
74163605155433026
oct447350111060450
978788562278866
1020303403311400
116518696951590
12233ab28832120
13b437ab227771
1450299338d716
152532112035a0
hex127741246128

20303403311400 has 384 divisors, whose sum is σ = 69812472965760. Its totient is φ = 4840243200000.

The previous prime is 20303403311393. The next prime is 20303403311407. The reversal of 20303403311400 is 411330430302.

It is an interprime number because it is at equal distance from previous prime (20303403311393) and next prime (20303403311407).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20303403311407) 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 95 ways as a sum of consecutive naturals, for example, 100410400 + ... + 100612400.

It is an arithmetic number, because the mean of its divisors is an integer number (181803315015).

Almost surely, 220303403311400 is an apocalyptic number.

20303403311400 is a gapful number since it is divisible by the number (20) 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 20303403311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34906236482880).

20303403311400 is an abundant number, since it is smaller than the sum of its proper divisors (49509069654360).

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

20303403311400 is a wasteful number, since it uses less digits than its factorization.

20303403311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202285 (or 202276 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 20303403311400 its reverse (411330430302), we get a palindrome (20714733741702).

The spelling of 20303403311400 in words is "twenty trillion, three hundred three billion, four hundred three million, three hundred eleven thousand, four hundred".