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131223122420103 = 3373783226083437
BaseRepresentation
bin11101110101100011000011…
…100110010010000110000111
3122012121210211000122001011000
4131311203003212102012013
5114144424423314420403
61143031023100144343
736432362205555150
oct3565430346220607
9565553730561130
10131223122420103
11388a246069881a
1212873b062380b3
13582b3973c267c
142459339560927
1510286341c67a3
hex7758c3992187

131223122420103 has 64 divisors (see below), whose sum is σ = 230930666910720. Its totient is φ = 72079016731776.

The previous prime is 131223122420051. The next prime is 131223122420129. The reversal of 131223122420103 is 301024221322131.

131223122420103 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 312 + 242 + 0 + 103 = 666.

It is not a de Polignac number, because 131223122420103 - 217 = 131223122289031 is a prime.

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 (131223122420003) 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 63 ways as a sum of consecutive naturals, for example, 112461300 + ... + 113622137.

It is an arithmetic number, because the mean of its divisors is an integer number (3608291670480).

Almost surely, 2131223122420103 is an apocalyptic number.

131223122420103 is a deficient number, since it is larger than the sum of its proper divisors (99707544490617).

131223122420103 is a wasteful number, since it uses less digits than its factorization.

131223122420103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226083573 (or 226083567 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131223122420103 its reverse (301024221322131), we get a palindrome (432247343742234).

The spelling of 131223122420103 in words is "one hundred thirty-one trillion, two hundred twenty-three billion, one hundred twenty-two million, four hundred twenty thousand, one hundred three".

Divisors: 1 3 7 9 21 27 37 63 83 111 189 249 259 333 581 747 777 999 1743 2241 2331 3071 5229 6993 9213 15687 21497 27639 64491 82917 193473 580419 226083437 678250311 1582584059 2034750933 4747752177 6104252799 8365087169 14243256531 18764925271 25095261507 42729769593 56294775813 58555610183 75285784521 131354476897 168884327439 175666830549 225857353563 394063430691 506652982317 527000491647 694302235027 1182190292073 1581001474941 2082906705081 3546570876219 4860115645189 6248720115243 14580346935567 18746160345729 43741040806701 131223122420103