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1223325131 = 7231283313
BaseRepresentation
bin100100011101010…
…0111010111001011
310011020220100121012
41020322213113023
510001132401011
6321220034135
742213043400
oct11072472713
93136810535
101223325131
11578598306
122a183294b
131665a0232
14b86822a7
15725e6a8b
hex48ea75cb

1223325131 has 36 divisors (see below), whose sum is σ = 1492907976. Its totient is φ = 999311040.

The previous prime is 1223325119. The next prime is 1223325139. The reversal of 1223325131 is 1315233221.

It is not a de Polignac number, because 1223325131 - 214 = 1223308747 is a prime.

It is a super-2 number, since 2×12233251312 = 2993048752272334322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1223325097 and 1223325106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223325139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3908231 + ... + 3908543.

It is an arithmetic number, because the mean of its divisors is an integer number (41469666).

Almost surely, 21223325131 is an apocalyptic number.

1223325131 is a deficient number, since it is larger than the sum of its proper divisors (269582845).

1223325131 is an equidigital number, since it uses as much as digits as its factorization.

1223325131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 434 counting only the distinct ones).

The product of its digits is 1080, while the sum is 23.

The square root of 1223325131 is about 34976.0651160190. The cubic root of 1223325131 is about 1069.4996149267.

Adding to 1223325131 its reverse (1315233221), we get a palindrome (2538558352).

The spelling of 1223325131 in words is "one billion, two hundred twenty-three million, three hundred twenty-five thousand, one hundred thirty-one".

Divisors: 1 7 31 49 83 217 313 581 961 1519 2191 2573 4067 6727 9703 15337 18011 25979 47089 67921 79763 126077 181853 300793 475447 558341 805349 1272971 2105551 3908387 5637443 14738857 24965819 39462101 174760733 1223325131