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131038184820 = 22353170450637
BaseRepresentation
bin111101000001001111…
…1000000010101110100
3110112020021110111110110
41322002133000111310
54121331233403240
6140110443023020
712316151123154
oct1720237002564
9415207414413
10131038184820
1150633703814
122149050aa70
13c483cc128a
1464b1316764
15361e088c80
hex1e827c0574

131038184820 has 48 divisors (see below), whose sum is σ = 378742629888. Its totient is φ = 33816305280.

The previous prime is 131038184807. The next prime is 131038184863. The reversal of 131038184820 is 28481830131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35223459 + ... + 35227178.

It is an arithmetic number, because the mean of its divisors is an integer number (7890471456).

Almost surely, 2131038184820 is an apocalyptic number.

131038184820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131038184820 is an abundant number, since it is smaller than the sum of its proper divisors (247704445068).

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

131038184820 is a wasteful number, since it uses less digits than its factorization.

131038184820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70450680 (or 70450678 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 131038184820 in words is "one hundred thirty-one billion, thirty-eight million, one hundred eighty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 70450637 140901274 211351911 281802548 352253185 422703822 704506370 845407644 1056759555 1409012740 2113519110 2183969747 4227038220 4367939494 6551909241 8735878988 10919848735 13103818482 21839697470 26207636964 32759546205 43679394940 65519092410 131038184820