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313142511241 = 72921128126017
BaseRepresentation
bin1001000111010001011…
…11111000011010001001
31002221021102212202212201
410203220233320122021
520112303440324431
6355504454440201
731423651266550
oct4435057703211
91087242782781
10313142511241
1111089186953a
1250832963061
13236b58a9991
14112287a6d97
15822b3b1461
hex48e8bf8689

313142511241 has 32 divisors (see below), whose sum is σ = 373310426880. Its totient is φ = 256996454400.

The previous prime is 313142511233. The next prime is 313142511271. The reversal of 313142511241 is 142115241313.

It is not a de Polignac number, because 313142511241 - 23 = 313142511233 is a prime.

It is a super-2 number, since 2×3131425112412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313142511211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12023065 + ... + 12049081.

It is an arithmetic number, because the mean of its divisors is an integer number (11665950840).

Almost surely, 2313142511241 is an apocalyptic number.

It is an amenable number.

313142511241 is a deficient number, since it is larger than the sum of its proper divisors (60167915639).

313142511241 is a wasteful number, since it uses less digits than its factorization.

313142511241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26545.

The product of its digits is 2880, while the sum is 28.

Adding to 313142511241 its reverse (142115241313), we get a palindrome (455257752554).

The spelling of 313142511241 in words is "three hundred thirteen billion, one hundred forty-two million, five hundred eleven thousand, two hundred forty-one".

Divisors: 1 7 29 203 211 281 1477 1967 6119 8149 26017 42833 57043 59291 182119 415037 754493 1719439 5281451 5489587 7310777 12036073 38427109 51175439 159198023 212012533 1114386161 1484087731 1542573947 10798017629 44734644463 313142511241