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130554606455031 = 31123719948846199
BaseRepresentation
bin11101101011110100011100…
…111100010000100011110111
3122010020220020222220022222210
4131223310130330100203313
5114103001313223030111
61141355542551024503
736333154565613003
oct3553643474204367
9563226228808883
10130554606455031
1138664996879600
121278643566b133
1357b03289100c5
142434c3b80d703
15101605918c0a6
hex76bd1cf108f7

130554606455031 has 48 divisors (see below), whose sum is σ = 197494955840000. Its totient is φ = 76598653855680.

The previous prime is 130554606454997. The next prime is 130554606455057.

130554606455031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 130554606455031 - 211 = 130554606452983 is a prime.

It is a super-2 number, since 2×1305546064550312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130554606455431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21750331 + ... + 27095868.

Almost surely, 2130554606455031 is an apocalyptic number.

130554606455031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130554606455031 is a deficient number, since it is larger than the sum of its proper divisors (66940349384969).

130554606455031 is a wasteful number, since it uses less digits than its factorization.

130554606455031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48846460 (or 48846449 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 130554606455031 in words is "one hundred thirty trillion, five hundred fifty-four billion, six hundred six million, four hundred fifty-five thousand, thirty-one".

Divisors: 1 3 11 33 37 111 121 199 363 407 597 1221 2189 4477 6567 7363 13431 22089 24079 72237 80993 242979 890923 2672769 48846199 146538597 537308189 1611924567 1807309363 5421928089 5910390079 9720393601 17731170237 19880402993 29161180803 59641208979 106924329611 218684432923 320772988833 359654563237 656053298769 1078963689711 1176167625721 3528502877163 3956200195607 11868600586821 43518202151677 130554606455031