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313131313132 = 2211219793371279
BaseRepresentation
bin1001000111010000001…
…01001010011111101100
31002221020122210211221221
410203220011022133230
520112243104010012
6355503414433124
731423454150161
oct4435005123754
91087218724857
10313131313132
11110886510200
125082b0627a4
13236b3488991
14112270d0068
15822a3ed507
hex48e814a7ec

313131313132 has 144 divisors (see below), whose sum is σ = 644460544000. Its totient is φ = 132635543040.

The previous prime is 313131313097. The next prime is 313131313171. The reversal of 313131313132 is 231313131313.

It is a junction number, because it is equal to n+sod(n) for n = 313131313097 and 313131313106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244824469 + ... + 244825747.

Almost surely, 2313131313132 is an apocalyptic number.

It is an amenable number.

313131313132 is an abundant number, since it is smaller than the sum of its proper divisors (331329230868).

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

313131313132 is a wasteful number, since it uses less digits than its factorization.

313131313132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1727 counting only the distinct ones).

The product of its digits is 1458, while the sum is 25.

Adding to 313131313132 its reverse (231313131313), we get a palindrome (544444444445).

It can be divided in two parts, 31313131313 and 2, that multiplied together give a palindrome (62626262626).

The spelling of 313131313132 in words is "three hundred thirteen billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 4 11 19 22 38 44 76 79 121 158 209 242 316 337 418 484 674 836 869 1279 1348 1501 1738 2299 2558 3002 3476 3707 4598 5116 6004 6403 7414 9196 9559 12806 14069 14828 16511 19118 24301 25612 26623 28138 33022 38236 40777 48602 53246 56276 66044 70433 81554 97204 101041 106492 140866 154759 163108 181621 202082 267311 281732 292853 309518 363242 404164 431023 505837 534622 585706 619036 726484 774763 862046 1011674 1069244 1111451 1171412 1549526 1724092 1919779 2023348 2222902 2940421 3099052 3221383 3839558 4445804 4741253 5564207 5880842 6442766 7679116 8189437 9482506 11128414 11761684 12225961 12885532 16378874 18965012 21117569 22256828 24451922 32757748 34050817 42235138 48903844 52153783 61206277 68101634 84470276 90083807 104307566 122412554 136203268 180167614 208615132 232293259 244825108 360335228 374558987 464586518 646965523 749117974 929173036 990921877 1293931046 1498235948 1981843754 2587862092 3963687508 4120148857 7116620753 8240297714 14233241506 16480595428 28466483012 78282828283 156565656566 313131313132