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131222421790768 = 247111036591569187
BaseRepresentation
bin11101110101100010011001…
…110101100110000000110000
3122012121202000012021101101101
4131311202121311212000300
5114144422004434301033
61143030425351214144
736432335640403060
oct3565423165460060
9565552005241341
10131222421790768
11388a2131159610
121287394b677354
13582b2b51c29b9
1424592b04a13a0
1510285e292c97d
hex775899d66030

131222421790768 has 160 divisors (see below), whose sum is σ = 320542175416320. Its totient is φ = 50552394036480.

The previous prime is 131222421790661. The next prime is 131222421790777. The reversal of 131222421790768 is 867097124222131.

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, 82839871 + ... + 84409057.

It is an arithmetic number, because the mean of its divisors is an integer number (2003388596352).

Almost surely, 2131222421790768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131222421790768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160271087708160).

131222421790768 is an abundant number, since it is smaller than the sum of its proper divisors (189319753625552).

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

131222421790768 is a wasteful number, since it uses less digits than its factorization.

131222421790768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569975 (or 1569969 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 55.

The spelling of 131222421790768 in words is "one hundred thirty-one trillion, two hundred twenty-two billion, four hundred twenty-one million, seven hundred ninety thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 103 112 154 176 206 308 412 616 659 721 824 1133 1232 1318 1442 1648 2266 2636 2884 4532 4613 5272 5768 7249 7931 9064 9226 10544 11536 14498 15862 18128 18452 28996 31724 36904 50743 57992 63448 67877 73808 101486 115984 126896 135754 202972 271508 405944 475139 543016 746647 811888 950278 1086032 1493294 1569187 1900556 2986588 3138374 3801112 5226529 5973176 6276748 7602224 10453058 10984309 11946352 12553496 17261057 20906116 21968618 25106992 34522114 41812232 43937236 69044228 83624464 87874472 120827399 138088456 161626261 175748944 241654798 276176912 323252522 483309596 646505044 966619192 1034094233 1131383827 1293010088 1777888871 1933238384 2068188466 2262767654 2586020176 3555777742 4136376932 4525535308 7111555484 7238659631 8272753864 9051070616 11375036563 12445222097 14223110968 14477319262 16545507728 18102141232 22750073126 24890444194 28446221936 28954638524 45500146252 49780888388 57909277048 79625255941 91000292504 99561776776 106511705999 115818554096 159250511882 182000585008 199123553552 213023411998 318501023764 426046823996 637002047528 745581941993 852093647992 1171628765989 1274004095056 1491163883986 1704187295984 2343257531978 2982327767972 4686515063956 5964655535944 8201401361923 9373030127912 11929311071888 16402802723846 18746060255824 32805605447692 65611210895384 131222421790768