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131037045424770 = 235193421106950287
BaseRepresentation
bin11101110010110101110000…
…100010111000001010000010
3122011222000111222221021111010
4131302311300202320022002
5114133402332112043040
61142405330532301350
736413054066316402
oct3562656042701202
9564860458837433
10131037045424770
1138830554017051
1212843a35471856
1358169817647c4
142450326632802
151023893226e80
hex772d708b8282

131037045424770 has 128 divisors (see below), whose sum is σ = 317171983887360. Its totient is φ = 34646458613760.

The previous prime is 131037045424739. The next prime is 131037045424819. The reversal of 131037045424770 is 77424540730131.

It is a super-3 number, since 3×1310370454247703 (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2605758567 + ... + 2605808853.

It is an arithmetic number, because the mean of its divisors is an integer number (2477906124120).

Almost surely, 2131037045424770 is an apocalyptic number.

131037045424770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131037045424770 is an abundant number, since it is smaller than the sum of its proper divisors (186134938462590).

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

131037045424770 is a wasteful number, since it uses less digits than its factorization.

131037045424770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51980.

The product of its (nonzero) digits is 1975680, while the sum is 48.

The spelling of 131037045424770 in words is "one hundred thirty-one trillion, thirty-seven billion, forty-five million, four hundred twenty-four thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 193 386 421 579 842 965 1069 1158 1263 1930 2105 2138 2526 2895 3207 4210 5345 5790 6315 6414 10690 12630 16035 32070 50287 81253 100574 150861 162506 206317 243759 251435 301722 406265 412634 450049 487518 502870 618951 754305 812530 900098 1031585 1218795 1237902 1350147 1508610 2063170 2250245 2437590 2700294 3094755 4500490 6189510 6750735 9705391 13501470 19410782 21170827 29116173 42341654 48526955 53756803 58232346 63512481 86859457 97053910 105854135 107513606 127024962 145580865 161270409 173718914 211708270 260578371 268784015 291161730 317562405 322540818 434297285 521156742 537568030 635124810 806352045 868594570 1302891855 1612704090 2605783710 4085969611 8171939222 10375062979 12257908833 20429848055 20750125958 22631614063 24515817666 31125188937 40859696110 45263228126 51875314895 61289544165 62250377874 67894842189 103750629790 113158070315 122579088330 135789684378 155625944685 226316140630 311251889370 339474210945 678948421890 4367901514159 8735803028318 13103704542477 21839507570795 26207409084954 43679015141590 65518522712385 131037045424770