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131223122320 = 2452393685453
BaseRepresentation
bin111101000110110000…
…0011111000110010000
3110112201011110022000111
41322031200133012100
54122221104403240
6140141050531104
712323555064433
oct1721540370620
9415634408014
10131223122320
1150719039024
1221522436a94
13c4b3403654
1464cbad781a
15363041a1ea
hex1e8d81f190

131223122320 has 40 divisors (see below), whose sum is σ = 305221698936. Its totient is φ = 52467237888.

The previous prime is 131223122309. The next prime is 131223122333. The reversal of 131223122320 is 23221322131.

It can be written as a sum of positive squares in 4 ways, for example, as 51667344 + 131171454976 = 7188^2 + 362176^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 131223122291 and 131223122300.

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 7 ways as a sum of consecutive naturals, for example, 151287 + ... + 534166.

Almost surely, 2131223122320 is an apocalyptic number.

131223122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131223122320 is an abundant number, since it is smaller than the sum of its proper divisors (173998576616).

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

131223122320 is a wasteful number, since it uses less digits than its factorization.

131223122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687859 (or 687853 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 131223122320 its reverse (23221322131), we get a palindrome (154444444451).

The spelling of 131223122320 in words is "one hundred thirty-one billion, two hundred twenty-three million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2393 4786 9572 11965 19144 23930 38288 47860 95720 191440 685453 1370906 2741812 3427265 5483624 6854530 10967248 13709060 27418120 54836240 1640289029 3280578058 6561156116 8201445145 13122312232 16402890290 26244624464 32805780580 65611561160 131223122320