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131030112013110 = 232517292953124003
BaseRepresentation
bin11101110010101111010011…
…010010000000101100110110
3122011221100121210111110201200
4131302233103102000230312
5114133244132133404420
61142402222533233330
736412420216304262
oct3562572322005466
9564840553443650
10131030112013110
1138828616313272
121284261b492846
1358161181a455b
14244dc6988b0a2
1510235d96b2b90
hex772bd3480b36

131030112013110 has 96 divisors (see below), whose sum is σ = 373156749145440. Its totient is φ = 31751989269504.

The previous prime is 131030112013109. The next prime is 131030112013111. The reversal of 131030112013110 is 11310211030131.

131030112013110 is a `hidden beast` number, since 1 + 31 + 0 + 301 + 1 + 20 + 1 + 311 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (131030112013109) and next prime (131030112013111).

It is a super-3 number, since 3×1310301120131103 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131030112013111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1476517632 + ... + 1476606371.

It is an arithmetic number, because the mean of its divisors is an integer number (3887049470265).

Almost surely, 2131030112013110 is an apocalyptic number.

131030112013110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131030112013110 is an abundant number, since it is smaller than the sum of its proper divisors (242126637132330).

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

131030112013110 is a wasteful number, since it uses less digits than its factorization.

131030112013110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953124062 (or 2953124059 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131030112013110 its reverse (11310211030131), we get a palindrome (142340323043241).

The spelling of 131030112013110 in words is "one hundred thirty-one trillion, thirty billion, one hundred twelve million, thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 29 30 34 45 51 58 85 87 90 102 145 153 170 174 255 261 290 306 435 493 510 522 765 870 986 1305 1479 1530 2465 2610 2958 4437 4930 7395 8874 14790 22185 44370 2953124003 5906248006 8859372009 14765620015 17718744018 26578116027 29531240030 44296860045 50203108051 53156232054 85640596087 88593720090 100406216102 132890580135 150609324153 171281192174 251015540255 256921788261 265781160270 301218648306 428202980435 451827972459 502031080510 513843576522 753046620765 770765364783 856405960870 903655944918 1284608941305 1455890133479 1506093241530 1541530729566 2259139862295 2569217882610 2911780266958 3853826823915 4367670400437 4518279724590 7279450667395 7707653647830 8735340800874 13103011201311 14558901334790 21838352002185 26206022402622 43676704004370 65515056006555 131030112013110