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131231201444112 = 24371141866006767
BaseRepresentation
bin11101110101101010100101…
…001001010100000100010000
3122012122120200001201222121110
4131311222211021110010100
5114200043000032202422
61143034440501453320
736433066336255050
oct3565524511240420
9565576601658543
10131231201444112
11388a5927030070
121287559ba11240
13582c084113853
1424598a4519560
1510289585d160c
hex775aa5254110

131231201444112 has 160 divisors (see below), whose sum is σ = 432975671783424. Its totient is φ = 33254659814400.

The previous prime is 131231201444081. The next prime is 131231201444143. The reversal of 131231201444112 is 211444102132131.

It is an interprime number because it is at equal distance from previous prime (131231201444081) and next prime (131231201444143).

It is a self number, because there is not a number n which added to its sum of digits gives 131231201444112.

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, 432851848 + ... + 433154919.

Almost surely, 2131231201444112 is an apocalyptic number.

131231201444112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131231201444112 is an abundant number, since it is smaller than the sum of its proper divisors (301744470339312).

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

131231201444112 is a wasteful number, since it uses less digits than its factorization.

131231201444112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866006837 (or 866006831 counting only the distinct ones).

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

Adding to 131231201444112 its reverse (211444102132131), we get a palindrome (342675303576243).

The spelling of 131231201444112 in words is "one hundred thirty-one trillion, two hundred thirty-one billion, two hundred one million, four hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 41 42 44 48 56 66 77 82 84 88 112 123 132 154 164 168 176 231 246 264 287 308 328 336 451 462 492 528 574 616 656 861 902 924 984 1148 1232 1353 1722 1804 1848 1968 2296 2706 3157 3444 3608 3696 4592 5412 6314 6888 7216 9471 10824 12628 13776 18942 21648 25256 37884 50512 75768 151536 866006767 1732013534 2598020301 3464027068 5196040602 6062047369 6928054136 9526074437 10392081204 12124094738 13856108272 18186142107 19052148874 20784162408 24248189476 28578223311 35506277447 36372284214 38104297748 41568324816 48496378952 57156446622 66682521059 71012554894 72744568428 76208595496 96992757904 106518832341 114312893244 133365042118 142025109788 145489136856 152417190992 200047563177 213037664682 228625786488 248543942129 266730084236 284050219576 290978273712 390569051917 400095126354 426075329364 457251572976 497087884258 533460168472 568100439152 745631826387 781138103834 800190252708 852150658728 994175768516 1066920336944 1171707155751 1491263652774 1562276207668 1600380505416 1704301317456 1988351537032 2343414311502 2733983363419 2982527305548 3124552415336 3200761010832 3976703074064 4686828623004 5467966726838 5965054611096 6249104830672 8201950090257 9373657246008 10935933453676 11930109222192 16403900180514 18747314492016 21871866907352 32807800361028 43743733814704 65615600722056 131231201444112