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101013786069471 = 32112551399976979
BaseRepresentation
bin10110111101111100011010…
…110101100000100111011111
3111020122211020102122211211100
4112331330122311200213133
5101220002213213210341
6554501032004324143
730164001533432532
oct2675743265404737
9436584212584740
10101013786069471
112a2057848a3110
12b3b51946a3653
1344497365c9732
141ad3144164a19
15ba29014ac3b6
hex5bdf1ad609df

101013786069471 has 24 divisors (see below), whose sum is σ = 159235635461760. Its totient is φ = 61196477634000.

The previous prime is 101013786069461. The next prime is 101013786069499. The reversal of 101013786069471 is 174960687310101.

101013786069471 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 37 + 86 + 0 + 69 + 471 = 666.

It is not a de Polignac number, because 101013786069471 - 214 = 101013786053087 is a prime.

It is a super-3 number, since 3×1010137860694713 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013786069461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199735941 + ... + 200241038.

It is an arithmetic number, because the mean of its divisors is an integer number (6634818144240).

Almost surely, 2101013786069471 is an apocalyptic number.

101013786069471 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101013786069471 is a deficient number, since it is larger than the sum of its proper divisors (58221849392289).

101013786069471 is a wasteful number, since it uses less digits than its factorization.

101013786069471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399979547 (or 399979544 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 101013786069471 in words is "one hundred one trillion, thirteen billion, seven hundred eighty-six million, sixty-nine thousand, four hundred seventy-one".

Divisors: 1 3 9 11 33 99 2551 7653 22959 28061 84183 252549 399976979 1199930937 3599792811 4399746769 13199240307 39597720921 1020341273429 3061023820287 9183071460861 11223754007719 33671262023157 101013786069471