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1311244223436 = 223373155950001
BaseRepresentation
bin10011000101001100001…
…111110000001111001100
311122100112212100012001000
4103011030033300033030
5132440412010122221
62442213254220300
7163506566000040
oct23051417601714
94570485305030
101311244223436
114661061a8734
12192165054690
139685a7c10a4
1447670a70020
1524196156e26
hex1314c3f03cc

1311244223436 has 96 divisors (see below), whose sum is σ = 4010496143360. Its totient is φ = 362556000000.

The previous prime is 1311244223411. The next prime is 1311244223437. The reversal of 1311244223436 is 6343224421131.

It is a super-2 number, since 2×13112442234362 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1311244223436.

It is not an unprimeable number, because it can be changed into a prime (1311244223437) 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 31 ways as a sum of consecutive naturals, for example, 27951565 + ... + 27998436.

Almost surely, 21311244223436 is an apocalyptic number.

It is an amenable number.

1311244223436 is an abundant number, since it is smaller than the sum of its proper divisors (2699251919924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311244223436 is a wasteful number, since it uses less digits than its factorization.

1311244223436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55950052 (or 55950044 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 1311244223436 its reverse (6343224421131), we get a palindrome (7654468644567).

The spelling of 1311244223436 in words is "one trillion, three hundred eleven billion, two hundred forty-four million, two hundred twenty-three thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 651 756 837 868 1116 1302 1674 1953 2604 3348 3906 5859 7812 11718 23436 55950001 111900002 167850003 223800004 335700006 391650007 503550009 671400012 783300014 1007100018 1174950021 1510650027 1566600028 1734450031 2014200036 2349900042 3021300054 3468900062 3524850063 4699800084 5203350093 6042600108 6937800124 7049700126 10406700186 10574550189 12141150217 14099400252 15610050279 20813400372 21149100378 24282300434 31220100558 36423450651 42298200756 46830150837 48564600868 62440201116 72846901302 93660301674 109270351953 145693802604 187320603348 218540703906 327811055859 437081407812 655622111718 1311244223436