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3131020011105 = 3357103137234799
BaseRepresentation
bin101101100011111111010…
…101011110011001100001
3102002022201011112110021000
4231203333111132121201
5402244312110323410
610354212025022213
7442131410655540
oct55437725363141
912068634473230
103131020011105
11aa7949197298
12426990324969
1319933bb2a0ac
14ab783a3c157
15566a1ddcdc0
hex2d8ff55e661

3131020011105 has 128 divisors (see below), whose sum is σ = 6470111232000. Its totient is φ = 1407074913792.

The previous prime is 3131020011103. The next prime is 3131020011127. The reversal of 3131020011105 is 5011100201313.

It is not a de Polignac number, because 3131020011105 - 21 = 3131020011103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3131020011103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13217496 + ... + 13452294.

It is an arithmetic number, because the mean of its divisors is an integer number (50547744000).

Almost surely, 23131020011105 is an apocalyptic number.

3131020011105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3131020011105 is an abundant number, since it is smaller than the sum of its proper divisors (3339091220895).

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

3131020011105 is a wasteful number, since it uses less digits than its factorization.

3131020011105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235060 (or 235054 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 3131020011105 its reverse (5011100201313), we get a palindrome (8142120212418).

The spelling of 3131020011105 in words is "three trillion, one hundred thirty-one billion, twenty million, eleven thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 103 105 135 137 189 309 315 411 515 685 721 927 945 959 1233 1545 2055 2163 2781 2877 3605 3699 4635 4795 6165 6489 8631 10815 13905 14111 14385 18495 19467 25893 32445 42333 43155 70555 97335 98777 126999 129465 211665 234799 296331 380997 493885 634995 704397 888993 1173995 1481655 1643593 1904985 2113191 2666979 3521985 4444965 4930779 6339573 8217965 10565955 13334895 14792337 24184297 24653895 31697865 32167463 44377011 72552891 73961685 96502389 120921485 160837315 169290079 217658673 221885055 225172241 289507167 362764455 482511945 507870237 652976019 675516723 846450395 868521501 1088293365 1125861205 1447535835 1523610711 2026550169 2539351185 3264880095 3313248689 3377583615 4342607505 4570832133 6079650507 7618053555 9939746067 10132750845 16566243445 22854160665 23192740823 29819238201 30398252535 49698730335 69578222469 89457714603 115963704115 149096191005 208734667407 347891112345 447288573015 626204002221 1043673337035 3131020011105