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131110320 = 24351149663
BaseRepresentation
bin1111101000010…
…01010110110000
3100010201002112210
413310021112300
5232031012240
621002052120
73151263555
oct764112660
9303632483
10131110320
1168010140
1237aaa040
1321216c93
14135aca2c
15b79c780
hex7d095b0

131110320 has 80 divisors (see below), whose sum is σ = 443400192. Its totient is φ = 31783680.

The previous prime is 131110303. The next prime is 131110321. The reversal of 131110320 is 23011131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 131110296 and 131110305.

It is not an unprimeable number, because it can be changed into a prime (131110321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22192 + ... + 27471.

Almost surely, 2131110320 is an apocalyptic number.

131110320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131110320 is an abundant number, since it is smaller than the sum of its proper divisors (312289872).

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

131110320 is a wasteful number, since it uses less digits than its factorization.

131110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49690 (or 49684 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 131110320 is about 11450.3414796241. The cubic root of 131110320 is about 508.0178347429.

Adding to 131110320 its reverse (23011131), we get a palindrome (154121451).

The spelling of 131110320 in words is "one hundred thirty-one million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 49663 99326 148989 198652 248315 297978 397304 496630 546293 595956 744945 794608 993260 1092586 1191912 1489890 1638879 1986520 2185172 2383824 2731465 2979780 3277758 3973040 4370344 5462930 5959560 6555516 8194395 8740688 10925860 11919120 13111032 16388790 21851720 26222064 32777580 43703440 65555160 131110320