Search a number
-
+
21163132056313 = 1341531301575837
BaseRepresentation
bin1001100111111011011001…
…11101111111001011111001
32202221011202001122000200101
410303331230331333023321
510233214043301300223
6113002113022435401
74312662066253432
oct463755475771371
982834661560611
1021163132056313
11681a263362385
122459682132b61
13ba68a0689140
14532430158489
1526a77d0164ad
hex133f6cf7f2f9

21163132056313 has 32 divisors (see below), whose sum is σ = 23805778645152. Its totient is φ = 18684726528000.

The previous prime is 21163132056233. The next prime is 21163132056317. The reversal of 21163132056313 is 31365023136112.

It can be written as a sum of positive squares in 16 ways, for example, as 13401068598009 + 7762063458304 = 3660747^2 + 2786048^2 .

It is not a de Polignac number, because 21163132056313 - 217 = 21163131925241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21163132056317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36464031 + ... + 37039867.

It is an arithmetic number, because the mean of its divisors is an integer number (743930582661).

Almost surely, 221163132056313 is an apocalyptic number.

It is an amenable number.

21163132056313 is a deficient number, since it is larger than the sum of its proper divisors (2642646588839).

21163132056313 is a wasteful number, since it uses less digits than its factorization.

21163132056313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577245.

The product of its (nonzero) digits is 58320, while the sum is 37.

The spelling of 21163132056313 in words is "twenty-one trillion, one hundred sixty-three billion, one hundred thirty-two million, fifty-six thousand, three hundred thirteen".

Divisors: 1 13 41 53 533 689 1301 2173 16913 28249 53341 68953 575837 693433 896389 2827073 7485881 23609317 30519361 36751949 306921121 396751693 749163937 1251293801 9739131181 16266819413 30715721417 39705688661 399304378421 516173952593 1627933235101 21163132056313