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331132300000 = 25553798737
BaseRepresentation
bin1001101000110010000…
…01011110101011100000
31011122201011211201201021
410310121001132223200
520411124332100000
6412041534215224
732631524052355
oct4643101365340
91148634751637
10331132300000
11118483607057
1254213654514
13252c19734b8
1412053ad662c
1589308ee11a
hex4d1905eae0

331132300000 has 144 divisors (see below), whose sum is σ = 817087234320. Its totient is φ = 132088320000.

The previous prime is 331132299931. The next prime is 331132300003. The reversal of 331132300000 is 3231133.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331132300003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 37895632 + ... + 37904368.

It is an arithmetic number, because the mean of its divisors is an integer number (5674216905).

Almost surely, 2331132300000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331132300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408543617160).

331132300000 is an abundant number, since it is smaller than the sum of its proper divisors (485954934320).

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

331132300000 is an frugal number, since it uses more digits than its factorization.

331132300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9151 (or 9123 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 331132300000 its reverse (3231133), we get a palindrome (331135531133).

The spelling of 331132300000 in words is "three hundred thirty-one billion, one hundred thirty-two million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 379 400 500 625 758 800 1000 1250 1516 1895 2000 2500 3032 3125 3790 4000 5000 6064 6250 7580 8737 9475 10000 12128 12500 15160 17474 18950 20000 25000 30320 34948 37900 43685 47375 50000 60640 69896 75800 87370 94750 100000 139792 151600 174740 189500 218425 236875 279584 303200 349480 379000 436850 473750 698960 758000 873700 947500 1092125 1184375 1397920 1516000 1747400 1895000 2184250 2368750 3311323 3494800 3790000 4368500 4737500 5460625 6622646 6989600 7580000 8737000 9475000 10921250 13245292 16556615 17474000 18950000 21842500 26490584 27303125 33113230 34948000 37900000 43685000 52981168 54606250 66226460 82783075 87370000 105962336 109212500 132452920 165566150 174740000 218425000 264905840 331132300 413915375 436850000 529811680 662264600 827830750 873700000 1324529200 1655661500 2069576875 2649058400 3311323000 4139153750 6622646000 8278307500 10347884375 13245292000 16556615000 20695768750 33113230000 41391537500 66226460000 82783075000 165566150000 331132300000