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313131140421 = 311731011286969
BaseRepresentation
bin1001000111010000001…
…00100000010101000101
31002221020122111002001020
410203220010200111011
520112243032443141
6355503411021353
731423452530511
oct4435004402505
91087218432036
10313131140421
11110886402470
125082ab9a859
13236b3428198
1411227087141
15822a3b7266
hex48e8120545

313131140421 has 32 divisors (see below), whose sum is σ = 466274378880. Its totient is φ = 185323392000.

The previous prime is 313131140417. The next prime is 313131140431. The reversal of 313131140421 is 124041131313.

It is a happy number.

It is not a de Polignac number, because 313131140421 - 22 = 313131140417 is a prime.

It is a super-2 number, since 2×3131311404212 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 313131140391 and 313131140400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313131140431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400176 + ... + 886793.

It is an arithmetic number, because the mean of its divisors is an integer number (14571074340).

Almost surely, 2313131140421 is an apocalyptic number.

It is an amenable number.

313131140421 is a deficient number, since it is larger than the sum of its proper divisors (153143238459).

313131140421 is a wasteful number, since it uses less digits than its factorization.

313131140421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287157.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 313131140421 its reverse (124041131313), we get a palindrome (437172271734).

The spelling of 313131140421 in words is "three hundred thirteen billion, one hundred thirty-one million, one hundred forty thousand, four hundred twenty-one".

Divisors: 1 3 11 33 73 101 219 303 803 1111 2409 3333 7373 22119 81103 243309 1286969 3860907 14156659 42469977 93948737 129983869 281846211 389951607 1033436107 1429822559 3100308321 4289467677 9488822437 28466467311 104377046807 313131140421