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20105411421042 = 23323374744321013
BaseRepresentation
bin1001001001001001001111…
…11001111110001101110010
32122012001120200122112001000
410210210213321332031302
510113401340310433132
6110432144250422430
74143365560225053
oct444444771761562
978161520575030
1020105411421042
116451725666932
122308691731a16
13b2ac16c61c5c
144d716dc7872a
1524cec41e487c
hex124927e7e372

20105411421042 has 256 divisors, whose sum is σ = 49012744273920. Its totient is φ = 6090391067904.

The previous prime is 20105411421023. The next prime is 20105411421103. The reversal of 20105411421042 is 24012411450102.

20105411421042 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 541 + 14 + 2 + 104 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20105411420997 and 20105411421015.

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, 956797728 + ... + 956818740.

It is an arithmetic number, because the mean of its divisors is an integer number (191456032320).

Almost surely, 220105411421042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20105411421042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24506372136960).

20105411421042 is an abundant number, since it is smaller than the sum of its proper divisors (28907332852878).

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

20105411421042 is a wasteful number, since it uses less digits than its factorization.

20105411421042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21574 (or 21568 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 20105411421042 its reverse (24012411450102), we get a palindrome (44117822871144).

The spelling of 20105411421042 in words is "twenty trillion, one hundred five billion, four hundred eleven million, four hundred twenty-one thousand, forty-two".