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22313140313103 = 341791538943397
BaseRepresentation
bin1010001001011001011101…
…10011010101110000001111
32221000010010010001110020000
411010230232303111300033
510411034302410004403
6115242303134455343
74462033263203133
oct504545663256017
987003103043200
1022313140313103
117122a4a005912
122604529664553
13c5b173b353b3
14571d670a13c3
1528a638e3d7a3
hex144b2ecd5c0f

22313140313103 has 20 divisors (see below), whose sum is σ = 33518187208440. Its totient is φ = 14792323922352.

The previous prime is 22313140313089. The next prime is 22313140313111. The reversal of 22313140313103 is 30131304131322.

22313140313103 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 314 + 0 + 31 + 310 + 3 = 666.

It is not a de Polignac number, because 22313140313103 - 25 = 22313140313071 is a prime.

It is a super-3 number, since 3×223131403131033 (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22313140313003) 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 19 ways as a sum of consecutive naturals, for example, 769457200 + ... + 769486197.

It is an arithmetic number, because the mean of its divisors is an integer number (1675909360422).

Almost surely, 222313140313103 is an apocalyptic number.

22313140313103 is a deficient number, since it is larger than the sum of its proper divisors (11205046895337).

22313140313103 is a wasteful number, since it uses less digits than its factorization.

22313140313103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538943588 (or 1538943579 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 22313140313103 its reverse (30131304131322), we get a palindrome (52444444444425).

The spelling of 22313140313103 in words is "twenty-two trillion, three hundred thirteen billion, one hundred forty million, three hundred thirteen thousand, one hundred three".

Divisors: 1 3 9 27 81 179 537 1611 4833 14499 1538943397 4616830191 13850490573 41551471719 124654415157 275470868063 826412604189 2479237812567 7437713437701 22313140313103