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13114121244411 = 311743863619763
BaseRepresentation
bin1011111011010101111010…
…0010011100111011111011
31201102200211122202102011110
42332311132202130323323
53204330210014310121
643520313310531403
72522315102231565
oct276653642347373
951380748672143
1013114121244411
1141a6738615820
121579730806b63
1374186bc48185
14334a266c0335
1517b1dd4a3d76
hexbed5e89cefb

13114121244411 has 32 divisors (see below), whose sum is σ = 19122922340352. Its totient is φ = 7928045084960.

The previous prime is 13114121244379. The next prime is 13114121244467. The reversal of 13114121244411 is 11444212141131.

It is not a de Polignac number, because 13114121244411 - 25 = 13114121244379 is a prime.

It is a super-2 number, since 2×131141212444112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13114121234411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20850016 + ... + 21469778.

It is an arithmetic number, because the mean of its divisors is an integer number (597591323136).

Almost surely, 213114121244411 is an apocalyptic number.

13114121244411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13114121244411 is a deficient number, since it is larger than the sum of its proper divisors (6008801095941).

13114121244411 is a wasteful number, since it uses less digits than its factorization.

13114121244411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621383.

The product of its digits is 3072, while the sum is 30.

Adding to 13114121244411 its reverse (11444212141131), we get a palindrome (24558333385542).

The spelling of 13114121244411 in words is "thirteen trillion, one hundred fourteen billion, one hundred twenty-one million, two hundred forty-four thousand, four hundred eleven".

Divisors: 1 3 11 33 743 863 2229 2589 8173 9493 24519 28479 619763 641209 1859289 1923627 6817393 7053299 20452179 21159897 460483909 534855469 1381451727 1604566407 5065322999 5883410159 15195968997 17650230477 397397613467 1192192840401 4371373748137 13114121244411