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21355466401061 = 1311292161673313
BaseRepresentation
bin1001101101100001101001…
…11111010010010100100101
32210121120012011122002001022
410312300310333102110211
510244341443344313221
6113230322115140525
74332611236232342
oct466606477222445
983546164562038
1021355466401061
116893891058301
12248a9ba5a4745
13bbba727c9720
1453b8781257c9
152707884d54ab
hex136c34fd2525

21355466401061 has 16 divisors (see below), whose sum is σ = 23029251011760. Its totient is φ = 19686134661120.

The previous prime is 21355466401051. The next prime is 21355466401081. The reversal of 21355466401061 is 16010466455312.

It can be written as a sum of positive squares in 8 ways, for example, as 531850776961 + 20823615624100 = 729281^2 + 4563290^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21355466401061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21355466401021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31380341 + ... + 32053653.

It is an arithmetic number, because the mean of its divisors is an integer number (1439328188235).

Almost surely, 221355466401061 is an apocalyptic number.

It is an amenable number.

21355466401061 is a deficient number, since it is larger than the sum of its proper divisors (1673784610699).

21355466401061 is a wasteful number, since it uses less digits than its factorization.

21355466401061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676616.

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 21355466401061 in words is "twenty-one trillion, three hundred fifty-five billion, four hundred sixty-six million, four hundred one thousand, sixty-one".

Divisors: 1 13 1129 2161 14677 28093 673313 2439769 8753069 31716997 760170377 1455029393 9882214901 18915382109 1642728184697 21355466401061