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20310211341400 = 235217471013074099
BaseRepresentation
bin1001001111000110101101…
…11011101010110001011000
32122220122012112211102102111
410213203112323222301120
510130230303100411100
6111110214323442104
74164235653641011
oct447432673526130
978818175742374
1020310211341400
11652056a8a8262
122340308826334
13b44324828396
1450303b618008
152534adc4c6ba
hex1278d6eeac58

20310211341400 has 384 divisors, whose sum is σ = 51748937856000. Its totient is φ = 7383481344000.

The previous prime is 20310211341347. The next prime is 20310211341401. The reversal of 20310211341400 is 414311201302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20310211341401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4954916551 + ... + 4954920649.

It is an arithmetic number, because the mean of its divisors is an integer number (134762859000).

Almost surely, 220310211341400 is an apocalyptic number.

20310211341400 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 20310211341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25874468928000).

20310211341400 is an abundant number, since it is smaller than the sum of its proper divisors (31438726514600).

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

20310211341400 is a wasteful number, since it uses less digits than its factorization.

20310211341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4587 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 20310211341400 its reverse (414311201302), we get a palindrome (20724522542702).

The spelling of 20310211341400 in words is "twenty trillion, three hundred ten billion, two hundred eleven million, three hundred forty-one thousand, four hundred".