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131424235520 = 212548713177
BaseRepresentation
bin111101001100101111…
…1101011000000000000
3110120020011212220110112
41322121133223000000
54123124101014040
6140213033250452
712331546366334
oct1723137530000
9416204786415
10131424235520
1150811611386
1221579863a28
13c515c8a546
14650a6c97c4
153642de4365
hex1e997eb000

131424235520 has 104 divisors (see below), whose sum is σ = 316051242144. Its totient is φ = 52457766912.

The previous prime is 131424235507. The next prime is 131424235543. The reversal of 131424235520 is 25532424131.

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

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, 9967172 + ... + 9980348.

Almost surely, 2131424235520 is an apocalyptic number.

131424235520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131424235520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158025621072).

131424235520 is an abundant number, since it is smaller than the sum of its proper divisors (184627006624).

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

131424235520 is an equidigital number, since it uses as much as digits as its factorization.

131424235520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13693 (or 13671 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 131424235520 its reverse (25532424131), we get a palindrome (156956659651).

The spelling of 131424235520 in words is "one hundred thirty-one billion, four hundred twenty-four million, two hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 487 512 640 974 1024 1280 1948 2048 2435 2560 3896 4096 4870 5120 7792 9740 10240 13177 15584 19480 20480 26354 31168 38960 52708 62336 65885 77920 105416 124672 131770 155840 210832 249344 263540 311680 421664 498688 527080 623360 843328 997376 1054160 1246720 1686656 1994752 2108320 2493440 3373312 4216640 4986880 6417199 6746624 8433280 9973760 12834398 13493248 16866560 25668796 26986496 32085995 33733120 51337592 53972992 64171990 67466240 102675184 128343980 134932480 205350368 256687960 269864960 410700736 513375920 821401472 1026751840 1642802944 2053503680 3285605888 4107007360 6571211776 8214014720 13142423552 16428029440 26284847104 32856058880 65712117760 131424235520