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12311140434431 = 316779191392827
BaseRepresentation
bin1011001100100110100100…
…1001110000000111111111
31121120221012112200211121012
42303021221021300013333
53103201203422400211
642103354305225435
72410310352040466
oct263115111600777
947527175624535
1012311140434431
113a17141908403
121469b9403227b
136b3c21575b17
14307c105099dd
1516539365dd8b
hexb32692701ff

12311140434431 has 32 divisors (see below), whose sum is σ = 13129631662080. Its totient is φ = 11526929013600.

The previous prime is 12311140434419. The next prime is 12311140434443. The reversal of 12311140434431 is 13443404111321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12311140434419) and next prime (12311140434443).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12311140434431 is a prime.

It is a super-2 number, since 2×123111404344312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311140434401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31143440 + ... + 31536266.

It is an arithmetic number, because the mean of its divisors is an integer number (410300989440).

Almost surely, 212311140434431 is an apocalyptic number.

12311140434431 is a deficient number, since it is larger than the sum of its proper divisors (818491227649).

12311140434431 is a wasteful number, since it uses less digits than its factorization.

12311140434431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393195.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 12311140434431 its reverse (13443404111321), we get a palindrome (25754544545752).

The spelling of 12311140434431 in words is "twelve trillion, three hundred eleven billion, one hundred forty million, four hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 31 67 79 191 2077 2449 5293 5921 12797 15089 164083 392827 396707 467759 1010963 12177637 26319409 31033333 31339853 75029957 815901679 962033323 2079233311 2325928667 5027007119 5927366603 64456232641 155837220689 183748364693 397133562401 12311140434431