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130378316761 = 7115928698727
BaseRepresentation
bin111100101101100100…
…1110011101111011001
3110110112021210201122201
41321123021303233121
54114003322114021
6135521151450201
712263616256450
oct1713311635731
9413467721581
10130378316761
1150325185110
1221327526961
13c3aa3937c4
14644b827b97
1535d1192591
hex1e5b273bd9

130378316761 has 16 divisors (see below), whose sum is σ = 165304673280. Its totient is φ = 99871566480.

The previous prime is 130378316737. The next prime is 130378316771. The reversal of 130378316761 is 167613873031.

It is not a de Polignac number, because 130378316761 - 25 = 130378316729 is a prime.

It is a super-2 number, since 2×1303783167612 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130378316771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14344821 + ... + 14353906.

It is an arithmetic number, because the mean of its divisors is an integer number (10331542080).

Almost surely, 2130378316761 is an apocalyptic number.

130378316761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130378316761 is a deficient number, since it is larger than the sum of its proper divisors (34926356519).

130378316761 is a wasteful number, since it uses less digits than its factorization.

130378316761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28698804.

The product of its (nonzero) digits is 381024, while the sum is 46.

The spelling of 130378316761 in words is "one hundred thirty billion, three hundred seventy-eight million, three hundred sixteen thousand, seven hundred sixty-one".

Divisors: 1 7 11 59 77 413 649 4543 28698727 200891089 315685997 1693224893 2209801979 11852574251 18625473823 130378316761