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131311224114420 = 223571585811971521
BaseRepresentation
bin11101110110110101000110…
…110111100100110011110100
3122012221020012222111211102110
4131312311012313210303310
5114202400341333130140
61143135313225211020
736441631354606620
oct3566650667446364
9565836188454373
10131311224114420
1138926860810739
1212888bb3330a70
135836797b5533c
14245d6d62b6180
15102aa8da7c380
hex776d46de4cf4

131311224114420 has 96 divisors (see below), whose sum is σ = 420198780024576. Its totient is φ = 30013789593600.

The previous prime is 131311224114341. The next prime is 131311224114509. The reversal of 131311224114420 is 24411422113131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65618260 + ... + 67589780.

It is an arithmetic number, because the mean of its divisors is an integer number (4377070625256).

Almost surely, 2131311224114420 is an apocalyptic number.

131311224114420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131311224114420 is an abundant number, since it is smaller than the sum of its proper divisors (288887555910156).

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

131311224114420 is a wasteful number, since it uses less digits than its factorization.

131311224114420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130121 (or 2130119 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 131311224114420 its reverse (24411422113131), we get a palindrome (155722646227551).

The spelling of 131311224114420 in words is "one hundred thirty-one trillion, three hundred eleven billion, two hundred twenty-four million, one hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 158581 317162 475743 634324 792905 951486 1110067 1585810 1902972 1971521 2220134 2378715 3171620 3330201 3943042 4440268 4757430 5550335 5914563 6660402 7886084 9514860 9857605 11100670 11829126 13320804 13800647 16651005 19715210 22201340 23658252 27601294 29572815 33302010 39430420 41401941 55202588 59145630 66604020 69003235 82803882 118291260 138006470 165607764 207009705 276012940 414019410 828038820 312645771701 625291543402 937937315103 1250583086804 1563228858505 1875874630206 2188520401907 3126457717010 3751749260412 4377040803814 4689686575515 6252915434020 6565561205721 8754081607628 9379373151030 10942602009535 13131122411442 18758746302060 21885204019070 26262244822884 32827806028605 43770408038140 65655612057210 131311224114420