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1311242365620 = 223351117113114913
BaseRepresentation
bin10011000101001100001…
…000101010101010110100
311122100112201211210121000
4103011030020222222310
5132440411021144440
62442213150323300
7163506544131465
oct23051410525264
94570481753530
101311242365620
11466105149950
121921644b9530
139685a2c05a5
1447670708d6c
1524195ddb730
hex1314c22aab4

1311242365620 has 384 divisors, whose sum is σ = 4753799124480. Its totient is φ = 296528117760.

The previous prime is 1311242365619. The next prime is 1311242365621. The reversal of 1311242365620 is 265632421131.

1311242365620 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 4 + 23 + 6 + 5 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (1311242365619) and next prime (1311242365621).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311242365621) 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 127 ways as a sum of consecutive naturals, for example, 11353284 + ... + 11468196.

It is an arithmetic number, because the mean of its divisors is an integer number (12379685220).

Almost surely, 21311242365620 is an apocalyptic number.

1311242365620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311242365620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376899562240).

1311242365620 is an abundant number, since it is smaller than the sum of its proper divisors (3442556758860).

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

1311242365620 is a wasteful number, since it uses less digits than its factorization.

1311242365620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115072 (or 115064 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 1311242365620 its reverse (265632421131), we get a palindrome (1576874786751).

The spelling of 1311242365620 in words is "one trillion, three hundred eleven billion, two hundred forty-two million, three hundred sixty-five thousand, six hundred twenty".