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12442311205 = 541269225629
BaseRepresentation
bin10111001011001111…
…01001101000100101
31012010010101220020221
423211213221220211
5200440212424310
65414345524341
7620221620532
oct134547515045
935103356227
1012442311205
1153053a6625
1224b2aa36b1
13123399b92c
14860677d89
154cc4e0ada
hex2e59e9a25

12442311205 has 16 divisors (see below), whose sum is σ = 15351865200. Its totient is φ = 9674928640.

The previous prime is 12442311137. The next prime is 12442311221. The reversal of 12442311205 is 50211324421.

It can be written as a sum of positive squares in 8 ways, for example, as 632924964 + 11809386241 = 25158^2 + 108671^2 .

It is a de Polignac number, because none of the positive numbers 2k-12442311205 is a prime.

It is a super-2 number, since 2×124423112052 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12442311205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57670 + ... + 167959.

It is an arithmetic number, because the mean of its divisors is an integer number (959491575).

Almost surely, 212442311205 is an apocalyptic number.

It is an amenable number.

12442311205 is a deficient number, since it is larger than the sum of its proper divisors (2909553995).

12442311205 is a wasteful number, since it uses less digits than its factorization.

12442311205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225944.

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 12442311205 its reverse (50211324421), we get a palindrome (62653635626).

The spelling of 12442311205 in words is "twelve billion, four hundred forty-two million, three hundred eleven thousand, two hundred five".

Divisors: 1 5 41 205 269 1345 11029 55145 225629 1128145 9250789 46253945 60694201 303471005 2488462241 12442311205