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20031004020000 = 253543147922483
BaseRepresentation
bin1001000110111110101001…
…11000010000110100100000
32121220221112002222220112210
410203133110320100310200
510111141444012120000
6110334041033522120
74135122644603511
oct443372470206440
977827462886483
1020031004020000
116423112620166
1222b6186873340
13b23bb96929bc
144d3711b7ca08
1524b0bbbd7350
hex1237d4e10d20

20031004020000 has 480 divisors, whose sum is σ = 67969858682880. Its totient is φ = 5158270080000.

The previous prime is 20031004019933. The next prime is 20031004020007. The reversal of 20031004020000 is 2040013002.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×200310040200002 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20031004020007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 890928759 + ... + 890951241.

It is an arithmetic number, because the mean of its divisors is an integer number (141603872256).

Almost surely, 220031004020000 is an apocalyptic number.

20031004020000 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 20031004020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33984929341440).

20031004020000 is an abundant number, since it is smaller than the sum of its proper divisors (47938854662880).

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

20031004020000 is a wasteful number, since it uses less digits than its factorization.

20031004020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23026 (or 23003 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20031004020000 its reverse (2040013002), we get a palindrome (20033044033002).

The spelling of 20031004020000 in words is "twenty trillion, thirty-one billion, four million, twenty thousand".