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13220123031 = 3219242331907
BaseRepresentation
bin11000100111111101…
…10001000110010111
31021010022222211111100
430103332301012113
5204033322414111
610023453041143
7645415122513
oct142376610627
937108884440
1013220123031
115674462115
12268b4861b3
131328b8340b
148d5aa9143
15525933756
hex313fb1197

13220123031 has 24 divisors (see below), whose sum is σ = 20109697920. Its totient is φ = 8345843856.

The previous prime is 13220123029. The next prime is 13220123041. The reversal of 13220123031 is 13032102231.

It is not a de Polignac number, because 13220123031 - 21 = 13220123029 is a prime.

It is a super-2 number, since 2×132201230312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13220122995 and 13220123013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220123041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398380 + ... + 430286.

It is an arithmetic number, because the mean of its divisors is an integer number (837904080).

Almost surely, 213220123031 is an apocalyptic number.

13220123031 is a deficient number, since it is larger than the sum of its proper divisors (6889574889).

13220123031 is a wasteful number, since it uses less digits than its factorization.

13220123031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34355 (or 34352 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13220123031 its reverse (13032102231), we get a palindrome (26252225262).

The spelling of 13220123031 in words is "thirteen billion, two hundred twenty million, one hundred twenty-three thousand, thirty-one".

Divisors: 1 3 9 19 57 171 2423 7269 21807 31907 46037 95721 138111 287163 414333 606233 1818699 5456097 77310661 231931983 695795949 1468902559 4406707677 13220123031