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123201013231 = 6783163199683
BaseRepresentation
bin111001010111101011…
…0100100010111101111
3102210000002102221011001
41302233112210113233
54004303424410411
6132333041141131
711621015222332
oct1625726442757
9383002387131
10123201013231
114828183a7aa
121ba6392a7a7
13b80541c13a
145d6a516619
153311003dc1
hex1caf5a45ef

123201013231 has 32 divisors (see below), whose sum is σ = 128149862400. Its totient is φ = 118392002784.

The previous prime is 123201013141. The next prime is 123201013261. The reversal of 123201013231 is 132310102321.

It is a cyclic number.

It is not a de Polignac number, because 123201013231 - 217 = 123200882159 is a prime.

It is a super-2 number, since 2×1232010132312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123201013199 and 123201013208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123201013261) 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 31 ways as a sum of consecutive naturals, for example, 180381816 + ... + 180382498.

It is an arithmetic number, because the mean of its divisors is an integer number (4004683200).

Almost surely, 2123201013231 is an apocalyptic number.

123201013231 is a deficient number, since it is larger than the sum of its proper divisors (4948849169).

123201013231 is a wasteful number, since it uses less digits than its factorization.

123201013231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 123201013231 its reverse (132310102321), we get a palindrome (255511115552).

The spelling of 123201013231 in words is "one hundred twenty-three billion, two hundred one million, thirteen thousand, two hundred thirty-one".

Divisors: 1 67 83 163 199 683 5561 10921 13333 13529 16517 32437 45761 56689 111329 135917 906443 1106639 2173279 2692271 3798163 7459043 9106439 9240307 11281111 22154471 180382157 619100569 755834437 1484349557 1838821093 123201013231