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1320031430000 = 2454151874193
BaseRepresentation
bin10011001101011000000…
…000010010010101110000
311200012020021000112022222
4103031120000102111300
5133111411021230000
62450225234420212
7164240416011053
oct23153000222560
94605207015288
101320031430000
11469905369018
121939b7a31668
139762b157bba
1447c65ad2a9a
152450c7eda85
hex13358012570

1320031430000 has 100 divisors (see below), whose sum is σ = 3217096861968. Its totient is φ = 524515200000.

The previous prime is 1320031429979. The next prime is 1320031430021. The reversal of 1320031430000 is 341300231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1320031429979) and next prime (1320031430021).

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1072904 + ... + 1947096.

Almost surely, 21320031430000 is an apocalyptic number.

1320031430000 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 1320031430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608548430984).

1320031430000 is an abundant number, since it is smaller than the sum of its proper divisors (1897065431968).

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

1320031430000 is an equidigital number, since it uses as much as digits as its factorization.

1320031430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874372 (or 874351 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1320031430000 its reverse (341300231), we get a palindrome (1320372730231).

The spelling of 1320031430000 in words is "one trillion, three hundred twenty billion, thirty-one million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 151 200 250 302 400 500 604 625 755 1000 1208 1250 1510 2000 2416 2500 3020 3775 5000 6040 7550 10000 12080 15100 18875 30200 37750 60400 75500 94375 151000 188750 302000 377500 755000 874193 1510000 1748386 3496772 4370965 6993544 8741930 13987088 17483860 21854825 34967720 43709650 69935440 87419300 109274125 132003143 174838600 218548250 264006286 349677200 437096500 528012572 546370625 660015715 874193000 1056025144 1092741250 1320031430 1748386000 2112050288 2185482500 2640062860 3300078575 4370965000 5280125720 6600157150 8741930000 10560251440 13200314300 16500392875 26400628600 33000785750 52801257200 66001571500 82501964375 132003143000 165003928750 264006286000 330007857500 660015715000 1320031430000