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11311231606116 = 223131314259129959
BaseRepresentation
bin1010010010011001100111…
…1100010001110101100100
31111001100021011211102011020
42210212121330101311210
52440310400242343431
640020150313011140
72245131602164221
oct244463174216544
944040234742136
1011311231606116
1136710803a4112
1213282386b3ab0
1364084c14c630
142b1676236948
1514936ee06696
hexa4999f11d64

11311231606116 has 96 divisors (see below), whose sum is σ = 28647010022400. Its totient is φ = 3452973663360.

The previous prime is 11311231606093. The next prime is 11311231606141. The reversal of 11311231606116 is 61160613211311.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86971945 + ... + 87101903.

It is an arithmetic number, because the mean of its divisors is an integer number (298406354400).

Almost surely, 211311231606116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11311231606116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14323505011200).

11311231606116 is an abundant number, since it is smaller than the sum of its proper divisors (17335778416284).

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

11311231606116 is a wasteful number, since it uses less digits than its factorization.

11311231606116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134369 (or 134367 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

Adding to 11311231606116 its reverse (61160613211311), we get a palindrome (72471844817427).

The spelling of 11311231606116 in words is "eleven trillion, three hundred eleven billion, two hundred thirty-one million, six hundred six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 131 156 262 393 524 786 1572 1703 3406 4259 5109 6812 8518 10218 12777 17036 20436 25554 51108 55367 110734 129959 166101 221468 259918 332202 389877 519836 557929 664404 779754 1115858 1559508 1673787 1689467 2231716 3347574 3378934 5068401 6695148 6757868 7253077 10136802 14506154 17024629 20273604 21759231 29012308 34049258 43518462 51073887 68098516 87036924 102147774 204295548 221320177 442640354 553495381 663960531 885280708 1106990762 1327921062 1660486143 2213981524 2655842124 3320972286 6641944572 7195439953 14390879906 21586319859 28781759812 43172639718 72507894911 86345279436 145015789822 217523684733 290031579644 435047369466 870094738932 942602633843 1885205267686 2827807901529 3770410535372 5655615803058 11311231606116