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10311431141 = 1117311778753
BaseRepresentation
bin10011001101001101…
…11111001111100101
3222121121202222100002
421212212333033211
5132104211244031
64423105431045
7513345501314
oct114646771745
928547688302
1010311431141
114411596920
121bb933b485
13c8438b35b
146db67027b
154053c8ccb
hex2669bf3e5

10311431141 has 16 divisors (see below), whose sum is σ = 12294747648. Its totient is φ = 8538009600.

The previous prime is 10311431111. The next prime is 10311431171. The reversal of 10311431141 is 14113411301.

It is an interprime number because it is at equal distance from previous prime (10311431111) and next prime (10311431171).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10311431141 is a prime.

It is a super-2 number, since 2×103114311412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311431101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 883580 + ... + 895173.

It is an arithmetic number, because the mean of its divisors is an integer number (768421728).

Almost surely, 210311431141 is an apocalyptic number.

10311431141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10311431141 is a deficient number, since it is larger than the sum of its proper divisors (1983316507).

10311431141 is a wasteful number, since it uses less digits than its factorization.

10311431141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778812.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10311431141 its reverse (14113411301), we get a palindrome (24424842442).

The spelling of 10311431141 in words is "ten billion, three hundred eleven million, four hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 11 17 31 187 341 527 5797 1778753 19566283 30238801 55141343 332626811 606554773 937402831 10311431141