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131227420640 = 2554319073753
BaseRepresentation
bin111101000110111000…
…0111000011111100000
3110112201110112200012112
41322031300320133200
54122223204430030
6140141323014452
712323636446121
oct1721560703740
9415643480175
10131227420640
1150720504458
122152396a428
13c4b4279c34
1464cc4d6048
1536309b8a95
hex1e8dc387e0

131227420640 has 48 divisors (see below), whose sum is σ = 317234676528. Its totient is φ = 51270245376.

The previous prime is 131227420619. The next prime is 131227420661. The reversal of 131227420640 is 46024722131.

It is an interprime number because it is at equal distance from previous prime (131227420619) and next prime (131227420661).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 131227420597 and 131227420606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9529997 + ... + 9543756.

It is an arithmetic number, because the mean of its divisors is an integer number (6609055761).

Almost surely, 2131227420640 is an apocalyptic number.

131227420640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131227420640 is an abundant number, since it is smaller than the sum of its proper divisors (186007255888).

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

131227420640 is a wasteful number, since it uses less digits than its factorization.

131227420640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19073811 (or 19073803 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 131227420640 in words is "one hundred thirty-one billion, two hundred twenty-seven million, four hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 1376 1720 3440 6880 19073753 38147506 76295012 95368765 152590024 190737530 305180048 381475060 610360096 762950120 820171379 1525900240 1640342758 3051800480 3280685516 4100856895 6561371032 8201713790 13122742064 16403427580 26245484128 32806855160 65613710320 131227420640