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20312302020000 = 25354449753983
BaseRepresentation
bin1001001111001010100111…
…00010111110010110100000
32122220211121020210220022020
410213211103202332112200
510130244043304120000
6111111202010141440
74164341531262624
oct447452342762640
978824536726266
1020312302020000
116521442a4a011
1223407b0a21880
13b44598a01503
14503199159184
15253582572ba0
hex1279538be5a0

20312302020000 has 240 divisors, whose sum is σ = 66776894553600. Its totient is φ = 5404542976000.

The previous prime is 20312302019951. The next prime is 20312302020007. The reversal of 20312302020000 is 2020321302.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×203123020200002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (20312302020007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26563009 + ... + 27316991.

It is an arithmetic number, because the mean of its divisors is an integer number (278237060640).

Almost surely, 220312302020000 is an apocalyptic number.

20312302020000 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 20312302020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33388447276800).

20312302020000 is an abundant number, since it is smaller than the sum of its proper divisors (46464592533600).

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

20312302020000 is an equidigital number, since it uses as much as digits as its factorization.

20312302020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754465 (or 754442 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20312302020000 its reverse (2020321302), we get a palindrome (20314322341302).

The spelling of 20312302020000 in words is "twenty trillion, three hundred twelve billion, three hundred two million, twenty thousand".