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131101340452425 = 325271736313134839
BaseRepresentation
bin11101110011110001101000…
…110100111100011001001001
3122012012011110211101002112200
4131303301220310330121021
5114140431021123434200
61142455042510030413
736420521301120540
oct3563615064743111
9565164424332480
10131101340452425
1138855847975a42
12128543997a8409
13581ca59c8cb75
1424534a56b7157
1510253a7a7a800
hex773c68d3c649

131101340452425 has 144 divisors (see below), whose sum is σ = 284158316632320. Its totient is φ = 56404655493120.

The previous prime is 131101340452367. The next prime is 131101340452441. The reversal of 131101340452425 is 524254043101131.

131101340452425 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 0 + 1 + 3 + 404 + 5 + 242 + 5 = 666.

It is not a de Polignac number, because 131101340452425 - 26 = 131101340452361 is a prime.

It is a super-2 number, since 2×1311013404524252 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131101340452425.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 972213156 + ... + 972347994.

It is an arithmetic number, because the mean of its divisors is an integer number (1973321643280).

Almost surely, 2131101340452425 is an apocalyptic number.

131101340452425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131101340452425 is an abundant number, since it is smaller than the sum of its proper divisors (153056976179895).

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

131101340452425 is a wasteful number, since it uses less digits than its factorization.

131101340452425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171192 (or 171184 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 131101340452425 its reverse (524254043101131), we get a palindrome (655355383553556).

The spelling of 131101340452425 in words is "one hundred thirty-one trillion, one hundred one billion, three hundred forty million, four hundred fifty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 35 45 51 63 75 85 105 119 153 175 225 255 315 357 425 525 595 765 1071 1275 1575 1785 2975 3825 5355 8925 26775 36313 108939 134839 181565 254191 326817 404517 544695 617321 674195 762573 907825 943873 1213551 1270955 1634085 1851963 2022585 2287719 2292263 2723475 2831619 3086605 3370975 3812865 4321247 4719365 5555889 6067755 6354775 6876789 8170425 8494857 9259815 10112925 11438595 11461315 12963741 14158095 15433025 16045841 19064325 20630367 21606235 23596825 27779445 30338775 34383945 38891223 42474285 46299075 48137523 57192975 57306575 64818705 70790475 80229205 103151835 108031175 138897225 144412569 171919725 194456115 212371425 240687615 324093525 401146025 515759175 722062845 972280575 1203438075 3610314225 4896408607 14689225821 24482043035 34274860249 44067677463 73446129105 83238946319 102824580747 122410215175 171374301245 220338387315 249716838957 308473742241 367230645525 416194731595 514122903735 582672624233 749150516871 856871506225 1101691936575 1248584194785 1542368711205 1748017872699 2080973657975 2570614518675 2913363121165 3745752584355 5244053618097 6242920973925 7711843556025 8740089363495 14566815605825 18728762921775 26220268090485 43700446817475 131101340452425