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131012221401334 = 271317226391870399
BaseRepresentation
bin11101110010011110101000…
…111010101111100011110110
3122011212122102222011020010201
4131302132220322233203312
5114133001012134320314
61142350103355311114
736411214656515260
oct3562365072574366
9564778388136121
10131012221401334
1138820a755548a9
121283b067a4b49a
135814526823a40
14244d04d7b6b30
151022dddc15b74
hex7727a8eaf8f6

131012221401334 has 64 divisors (see below), whose sum is σ = 256107737088000. Its totient is φ = 48778064552448.

The previous prime is 131012221401311. The next prime is 131012221401353. The reversal of 131012221401334 is 433104122210131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69109867 + ... + 70980265.

It is an arithmetic number, because the mean of its divisors is an integer number (4001683392000).

Almost surely, 2131012221401334 is an apocalyptic number.

131012221401334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131012221401334 is a deficient number, since it is larger than the sum of its proper divisors (125095515686666).

131012221401334 is a wasteful number, since it uses less digits than its factorization.

131012221401334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893077.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 131012221401334 its reverse (433104122210131), we get a palindrome (564116343611465).

The spelling of 131012221401334 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-one million, four hundred one thousand, three hundred thirty-four".

Divisors: 1 2 7 13 14 17 26 34 91 119 182 221 238 442 1547 3094 22639 45278 158473 294307 316946 384863 588614 769726 1870399 2060149 2694041 3740798 4120298 5003219 5388082 10006438 13092793 24315187 26185586 31796783 35022533 48630374 63593566 70045066 170206309 222577481 340412618 413358179 445154962 826716358 2893507253 5787014506 42343962961 84687925922 296407740727 550471518493 592815481454 719847370337 1100943036986 1439694740674 3853300629451 5038931592359 7706601258902 9358015814381 10077863184718 18716031628762 65506110700667 131012221401334