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12130313220031 = 617313719883771
BaseRepresentation
bin1011000010000100111100…
…0000101010111110111111
31120221122110101101120112011
42300201033000222332333
53042220340141020111
641444331114352051
72361246320056546
oct260411700527677
946848411346464
1012130313220031
113957489637866
12143ab2942b627
1369cb644405c6
142dd1788dd15d
1516080d505021
hexb084f02afbf

12130313220031 has 16 divisors (see below), whose sum is σ = 12589290939168. Its totient is φ = 11682112550400.

The previous prime is 12130313220001. The next prime is 12130313220059. The reversal of 12130313220031 is 13002231303121.

It is a cyclic number.

It is not a de Polignac number, because 12130313220031 - 231 = 12128165736383 is a prime.

It is a super-2 number, since 2×121303132200312 (a number of 27 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 = 12130313219984 and 12130313220011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130313220001) 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 15 ways as a sum of consecutive naturals, for example, 9331825 + ... + 10551946.

It is an arithmetic number, because the mean of its divisors is an integer number (786830683698).

Almost surely, 212130313220031 is an apocalyptic number.

12130313220031 is a deficient number, since it is larger than the sum of its proper divisors (458977719137).

12130313220031 is a wasteful number, since it uses less digits than its factorization.

12130313220031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19884042.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12130313220031 its reverse (13002231303121), we get a palindrome (25132544523152).

The spelling of 12130313220031 in words is "twelve trillion, one hundred thirty billion, three hundred thirteen million, two hundred twenty thousand, thirty-one".

Divisors: 1 61 73 137 4453 8357 10001 610061 19883771 1212910031 1451515283 2724076627 88542432263 166168674247 198857593771 12130313220031