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20300303001000 = 23353111574319091
BaseRepresentation
bin1001001110110100010000…
…10110010110010110101000
32122212200122000112120122010
410213122020112112112220
510130100010032013000
6111101455213355520
74163435301303141
oct447321026262650
978780560476563
1020300303001000
1165173458a8490
12233a402498ba0
13b43405b21379
1450277b714ac8
152530cde47d50
hex1276885965a8

20300303001000 has 512 divisors, whose sum is σ = 69703944560640. Its totient is φ = 4878057600000.

The previous prime is 20300303000987. The next prime is 20300303001029. The reversal of 20300303001000 is 10030300302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2233006455 + ... + 2233015545.

It is an arithmetic number, because the mean of its divisors is an integer number (136140516720).

Almost surely, 220300303001000 is an apocalyptic number.

20300303001000 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 20300303001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34851972280320).

20300303001000 is an abundant number, since it is smaller than the sum of its proper divisors (49403641559640).

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

20300303001000 is a wasteful number, since it uses less digits than its factorization.

20300303001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9714 (or 9700 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 20300303001000 its reverse (10030300302), we get a palindrome (20310333301302).

The spelling of 20300303001000 in words is "twenty trillion, three hundred billion, three hundred three million, one thousand".