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13140314440011 = 331181154554233
BaseRepresentation
bin1011111100110111011111…
…0001100100000101001011
31201112012110002212121122000
42333031313301210011023
53210242330444040021
643540324354002043
72524233145561413
oct277156761440513
951465402777560
1013140314440011
114206859a30310
121582820876323
13744184732995
14335dcd305643
1517bc22cbab26
hexbf377c6414b

13140314440011 has 32 divisors (see below), whose sum is σ = 21263058243840. Its totient is φ = 7954007025600.

The previous prime is 13140314440009. The next prime is 13140314440061. The reversal of 13140314440011 is 11004441304131.

It is not a de Polignac number, because 13140314440011 - 21 = 13140314440009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13140314440061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27036250 + ... + 27517983.

It is an arithmetic number, because the mean of its divisors is an integer number (664470570120).

Almost surely, 213140314440011 is an apocalyptic number.

13140314440011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13140314440011 is a deficient number, since it is larger than the sum of its proper divisors (8122743803829).

13140314440011 is a wasteful number, since it uses less digits than its factorization.

13140314440011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54555064 (or 54555058 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13140314440011 its reverse (11004441304131), we get a palindrome (24144755744142).

The spelling of 13140314440011 in words is "thirteen trillion, one hundred forty billion, three hundred fourteen million, four hundred forty thousand, eleven".

Divisors: 1 3 9 11 27 33 99 297 811 2433 7299 8921 21897 26763 80289 240867 54554233 163662699 490988097 600096563 1472964291 1800289689 5400869067 16202607201 44243482963 132730448889 398191346667 486678312593 1194574040001 1460034937779 4380104813337 13140314440011