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333130010000 = 245497343433
BaseRepresentation
bin1001101100100000001…
…10001000110110010000
31011211212101212220122112
410312100012020312100
520424222240310000
6413012100124452
733032162235644
oct4662006106620
91154771786575
10333130010000
1111930922a157
1254690696728
132554c7c8418
14121a3156c24
1589eaead235
hex4d90188d90

333130010000 has 100 divisors (see below), whose sum is σ = 814858296252. Its totient is φ = 131877888000.

The previous prime is 333130009969. The next prime is 333130010021. The reversal of 333130010000 is 10031333.

It can be written as a sum of positive squares in 10 ways, for example, as 322587649024 + 10542360976 = 567968^2 + 102676^2 .

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

It is a super-2 number, since 2×3331300100002 (a number of 24 digits) contains 22 as substring.

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, 798284 + ... + 1141716.

Almost surely, 2333130010000 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 333130010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407429148126).

333130010000 is an abundant number, since it is smaller than the sum of its proper divisors (481728286252).

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

333130010000 is an equidigital number, since it uses as much as digits as its factorization.

333130010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343558 (or 343537 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

Adding to 333130010000 its reverse (10031333), we get a palindrome (333140041333).

The spelling of 333130010000 in words is "three hundred thirty-three billion, one hundred thirty million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 125 194 200 250 388 400 485 500 625 776 970 1000 1250 1552 1940 2000 2425 2500 3880 4850 5000 7760 9700 10000 12125 19400 24250 38800 48500 60625 97000 121250 194000 242500 343433 485000 686866 970000 1373732 1717165 2747464 3434330 5494928 6868660 8585825 13737320 17171650 27474640 33313001 34343300 42929125 66626002 68686600 85858250 133252004 137373200 166565005 171716500 214645625 266504008 333130010 343433000 429291250 533008016 666260020 686866000 832825025 858582500 1332520040 1665650050 1717165000 2665040080 3331300100 3434330000 4164125125 6662600200 8328250250 13325200400 16656500500 20820625625 33313001000 41641251250 66626002000 83282502500 166565005000 333130010000